Papers and Preprints
[1] Abundance theorem for semi log canonical threefolds. Duke Math. J.
102 (2000), no. 3, 513--532. Abundance.pdf
[2] Applications of Kawamata's positivity theorem. Proc. Japan Acad.
Ser. A Math. Sci. 75 (1999), no. 6, 75--79.
applications.pdf
[3] On abundance theorem for semi log canonical threefolds. Proc. Japan
Acad. Ser. A Math. Sci. 75 (1999), no. 6, 80--84.
on-abundance.pdf
[4] Base point free theorem of Reid-Fukuda type. J. Math. Sci.
Univ. Tokyo 7 (2000), no. 1, 1--5.
Reid-Fukuda.pdf
[5] The indices of log canonical singularities. Amer. J. Math. 123
(2001), no. 2, 229--253. Indices.pdf
[6] (with Shigefumi Mori) A canonical bundle formula. J. Differential
Geom. 56 (2000), no. 1, 167--188.
Canonical.pdf
[7] A canonical bundle formula for certain algebraic fiber spaces and
its applications. Nagoya Math. J. Vol. 172 (2003), 129--171.
Nagoya2.pdf
[8] Notes on toric varieties from Mori theoretic viewpoint. Tohoku
Math. J. 55 (2003), 551--564. Notes.pdf
[9] Algebraic fiber spaces whose general fibers are of maximal Albanese
dimension. Nagoya Math. J. Vol. 172 (2003), 111--127.
Nagoya1.pdf
[10] Remarks on algebraic fiber spaces. J. Math. Kyoto Univ. 45-4
(2005), 683--699. remarks.pdf
[11] Termination of 4-fold canonical flips. Publ. Res. Inst. Math. Sci.
40 (2004), no. 1, 231--237.
termination.pdf
[12] Higher direct images of log canonical divisors. J. Differential
Geom. 66 (2004), no. 3, 453--479.
Higher.pdf
[13] On termination of 4-fold semi-stable log flips. Publ. Res. Inst.
Math. Sci. 41 (2005), no. 2, 281--294.
on-termination.pdf
[14] (with Hiroshi Sato) Introduction to the toric Mori theory.
Michigan Math. J. 52 (2004), no. 3, 649--665.
toric-Mori.pdf
[15] Equivariant completions of toric contraction morphisms. Tohoku
Math. J. 58 (2006), 303--321. equiv.pdf
[15a] (with Hiroshi Sato) Appendix: An example of toric flops, an
appendix to [15].
[16] Addendum to "Termination of 4-fold canonical flips". Publ.
Res. Inst. Math. Sci. 41 (2005), no. 1, 252--257.
addendum.pdf
[17] Special termination and reduction to pl flips,
63--75 in Flips for
3-folds and 4-folds, Oxford University Press (2007).
[18] What is log terminal ?, 49--62 in
Flips for 3-folds and 4-folds, Oxford University Press (2007).
what.pdf
[19] Toric varieties whose canonical divisors are divisible by their
dimensions. Osaka J. Math. 43 (2006), no. 2, 275--281.
toric.pdf
[20] On the Kleiman-Mori cone. Proc. Japan Acad. Ser. A Math. Sci. 81
(2005), no. 5, 80--84. Kleiman-Mori.pdf
[21] ${\overline C}_{n,n-1}$ revisited. preprint (2005).
f-revisited-new.pdf
[22] (with Sam Payne) Smooth complete toric threefolds with no
nontrivial nef line bundles. Proc. Japan Acad. Ser. A Math. Sci. 81
(2005), no. 10, 174--179. smooth.pdf
[23] A transcendental approach to Koll\'ar's injectivity theorem.
Osaka J. Math. 49 (2012), no. 3, 833--852.
kollar1-03.pdf (2011/4/30).
[24] Multiplication maps and vanishing theorems for toric varieties.
Math. Z. 257 (2007), no. 3, 631--641.
multiplication.pdf
[25] Basepoint-free theorems: saturation, b-divisors, and canonical
bundle formula. Algebra Number Theory 6 (2012), no. 4, 797--823.
bpf-re09.pdf (2011/5/18)
[26] A transcendental approach to Koll\'ar's injectivity theorem II.
J. Reine Angew. Math. 681 (2013), 149--174.
a-transcendental-II.pdf
[27] Vanishing and injectivity theorems for LMMP. preprint (2007).
snc19.pdf. I will never publish it. It is
contained in [38].
[28] Notes on the log minimal model program. preprint (2007).
LMMP08.pdf. I will never publish it. It is contained in [38].
[29] Vanishing theorems for toric polyhedra.
RIMS Kokyuroku Bessatsu, B9, Res. Inst. Math. Sci. (RIMS), Kyoto, 2008, 81--95.
fujino-final.pdf
[30] Effective base point free theorem for log canonical pairs---Koll\'ar type theorem. Tohoku Math. J. 61 (2009), 475--481.
effective-final.pdf
[31] Effective base point free theorem
for log canonical pairs, II. Angehrn--Siu type theorems.
Michigan Math. J. 59 (2010), 303--312.
effective2-final.pdf
[32] On Kawamata's theorem.
Classification of Algebraic Varieties,
305--315, EMS Ser. of Congr. Rep. Eur. Math. Soc., Z\"urich, 2010.
on-kawamata-final.pdf
[33] Theory of non-lc ideal sheaves:basic properties.
Kyoto Journal of Mathematics, Vol. 50, No. 2 (2010), 225--245.
non-lc-final.pdf
[34] New developments in the theory of minimal models. (Japanese), Sugaku
61 (2009), no. 2, 162--186.
Ronsetsu-final.pdf
[35] Introduction to the theory of quasi-log varieties.
Classification of Algebraic Varieties, 289--303,
EMS Ser. of Congr. Rep. Eur. Math. Soc., Z\"urich, 2010.
introduction.pdf
[36] (with Hiroshi Sato, Yukishige Takano, and Hokuto Uehara)
Three-dimensional terminal
toric flips. Cent. Eur. J. Math., 7(1), 2009, 46--53.
4authors.pdf
[37] Finite generation of the log canonical ring in dimension four.
Kyoto Journal of Mathematics, Vol. 50, No. 4 (2010), 671--684.
finite-final.pdf.
[38] Introduction to the log minimal model program for log canonical pairs. preprint (2008).
I will never bublish it. It is supersheded by [71].
MMP21.pdf,
MMP21-s.pdf,
QL.pdf.
[39](with Hiroshi Sato) Smooth projective toric varieties whose nontrivial nef line bundles are big. Proc. Japan Acad. Ser. A Math. Sci. 85 (2009), no. 7, 89--94. wSato.pdf
[40] On injectivity, vanishing and torsion-free theorems for algebraic varieties. Proc. Japan Acad. Ser. A Math. Sci. 85 (2009), no. 8, 95--100.
on-inj.pdf
[41] Non-vanishing theorem for log canonical pairs. J. Algebraic Geom. 20 (2011), no. 4, 771--783.
non-vanishing-p.pdf
[42] Fundamental theorems for the log minimal model program.
Publ. Res. Inst. Math. Sci. 47 (2011), no. 3, 727--789.
r.pdf
[43] On maximal Albanese dimensional varieties.
Proc. Japan Acad. Ser. A Math. Sci. 89 (2013), no. 8, 92--95.
on-maximal-final.pdf
[44] Canonical bundle formula and vanishing theorem. preprint (2009).
cano-vani-bessatsu2.pdf (2009/12/19). I will never
publish it. It is contained in [59] and [71].
[45] (with Karl Schwede, Shunsuke Takagi) Supplements to non-lc ideal sheaves.
RIMS Kokyuroku Bessatsu, B24, Res. Inst. Math. Sci. (RIMS), Kyoto, 2011, 1--46.
supplements_revised2.pdf
(2010/11/16).
[46] Recent developments in minimal model theory. English translation of [34].
Translated by M. Reid.
recent-final.pdf
[47] Minimal model theory for log surfaces. Publ. Res. Inst. Math. Sci. 48 (2012), no. 2, 339--371.
r2.pdf
[48] (with Yoshinori Gongyo) On images of weak
Fano manifolds. Math. Z. 270 (2012), no. 1-2, 531--544.
images-fano8.pdf (2010/10/30),
o.pdf.
[49] (with Yoshinori Gongyo) On canonical bundle formulas and
subadjunctions. Michigan Math. J. 61 (2012), no. 2, 255--264.
on-canonical.pdf
[50] Semi-stable minimal model program for varieties with trivial canonical divisor.
Proc. Japan Acad. Ser. A Math. Sci. 87 (2011),
no. 3, 25--30.
ssmmp-proc-final.pdf
[51] (with Yoshinori Gongyo) Log pluricanonical representations and the abundance conjecture.
Compos. Math. 150 (2014), no. 4, 593--620.
fg-comp-final.pdf
[52] On isolated log canonical singularities with index one. J. Math. Sci. Univ. Tokyo 18 (2011), 299--323.
is-sing-ishii10.pdf (2011/10/25).
[53] (with Yasuhiro Ishitsuka) On the ACC for lengths of extremal rays. Tohoku Math. J. 65 (2013), no. 1, 93--103.
acc7.pdf
[54] (with Hiromu Tanaka) On log surfaces. Proc. Japan Acad. Ser. A Math. Sci. 88 (2012), no. 8, 109--114.
on-log-surfaces.pdf
[55] (with Shunsuke Takagi) On the F-purity of isolated log canonical singularities.
Compositio Math. 149 (2013), 1495--1510.
on-the-F-purity.pdf
[56] Addendum to "On isolated log canonical singularities with index one". J. Math. Sci. Univ. Tokyo 19 (2012), 131--133.
hosoku.pdf
[57] (with Yoshinori Gongyo) On images of weak Fano manifolds II. Algebraic and
complex geometry, 201--207, Springer Proc. Math. Stat., 71, Springer, Cham, 2014.
nef-nef9.pdf (2012/11/5).
[58] Vanishing theorems.
fujino-final-vanishing.pdf (2013/1/24),
Minimal models and Extremal Rays (Kyoto, 2011), 299--321, Adv. Stud. Pure
Math., 70, Math. Soc. Japan, Tokyo, 2016.
[59] (with Taro Fujisawa) Variations of mixed Hodge structure and semipositivity theorems.
vmhs-sp108.pdf (2014/3/17), Publ. Res. Inst. Math. Sci. 50 (2014), no. 4, 589--661,
r3.pdf
[60] Fundamental theorems for semi log canonical pairs. Algebraic Geometry 1 (2014), no. 2, 194--228.
funda-slc-ag-final.pdf
[61] A remark on Kov\'acs's vanishing theorem. Kyoto Journal of Mathematics, Vol. 52, No. 4 (2012), 829--832.
[62] Semipositivity theorems for moduli problems. Ann. of Math. (2) 187 (2018), no. 3, 639--665.
[63] (with Yoshinori Gongyo) On the moduli b-divisors of lc-trivial fibrations.
Ann. Inst. Fourier (Grenoble) 64 (2014), no. 4, 1721--1735.
moduli-part9.pdf (2014/4/9).
[64] (with Yoshinori Gongyo) On log canonical rings.
log-ring-aspm.pdf (2015/7/3),
Higher dimensional algebraic geometry in honour of Professor Yujiro Kawamata's sixtieth
birthday, 159--169, Adv. Stud. Pure Math., 74, Math. Soc. Japan, Tokyo, 2017.
[65] (with Taro Fujisawa, Morihiko Saito)
Some remarks on the semi-positivity theorems. Publ. Res. Inst. Math. Sci. 50 (2014), no. 1, 85--112.
FFS-final.pdf
[66] Injectivity theorems.
injectivity-final-aspm.pdf (2015/7/3),
Higher dimensional algebraic geometry in honour of Professor Yujiro Kawamata's sixtieth birtyday,
131--157, Adv. Stud. Pure Math., 74, Math. Soc. Japan, Tokyo, 2017.
[67] Notes on the weak positivity theorems.
weak-posi11.pdf (2015/7/1), Algebraic Varieties and Automorphism
Groups, 73--118, Adv. Stud. Pure Math., 75, Math. Soc. Japan, Tokyo, 2017.
[68] Some remarks on the minimal model program for log canonical pairs. J. Math. Sci.
Univ. Tokyo 22 (2015), no. 1, 149--192.
someMMP8.pdf
[69] Pull-back of quasi-log structures. Publ. Res. Inst. Math. Sci. 53
(2017), no. 2, 241--259.
pull-back-prims.pdf
[70] Basepoint-free theorem of Reid--Fukuda type for quasi-log schemes.
Publ. Res. Inst. Math. Sci. 52 (2016), no. 1, 63--81.
reid-fukuda.pdf
[71] Foundations of the minimal model program. MSJ Memoirs, 35. Mathematical
Society of Japan, Tokyo, 2017.
[72] On subadditivity of the logarithmic Kodaira dimension.
J. Math. Soc. Japan 69 (2017), no. 4, 1565--1581.
fujino-subadd-final.pdf
[73] On quasi-Albanese maps. to appear in Boll. Unione Mat. Ital.
quasi-albanese.pdf (2014/8/25),
quasi-albanese2.pdf (2015/1/21),
quasi-albanese7.pdf (2024/2/1),
quasi-albanese8.pdf (2024/3/20).
[74] Direct images of relative pluricanonical bundles. Algebraic
Geometry 3 (2016), no. 1, 50--62.
direct-AG.pdf
[75] Kodaira vanishing theorem for log-canonical and semi-log-canonical pairs.
Proc. Japan Acad. Ser. A Math. Sci. 91 (2015), no. 8, 112--117.
kodaira-pja4.pdf (2015/8/13).
[76] Subadditivity of the logarithmic Kodaira dimension for morphisms of relative dimension one revisited. preprint (2015). I will never publish it. It is supersheded by [91].
revisited2015-2.pdf (2015/1/27),
kawamata-lemma.pdf
[77] On Semipositivity, Injectivity, and Vanishing Theorems.
Hodge Theory and $L^2$-analysis, 245--282, Advanced Lecture in Mathematics (ALM), 39,
International Press, Somerville, MA; Higher Education Press, Beijin, 2017.
zucker65th2.pdf, zuchker65th5.pdf (2016/9/29).
[78] On log canonical rational singularities.
Proc. Japan Acad. Ser. A Math. Sci. 92 (2016), no. 1, 13--18.
lc-rational.pdf (2015/3/4).
[79] Vanishing and semipositivity theorems for semi-log canonical pairs.
Publ. Res. Inst. Math. Sci. 56 (2020), no. 1, 15--32.
vanishing-semipositivity5.pdf (2018/5/7).
[80] Effective basepoint-free theorem for semi-log canonical surfaces.
Publ. Res. Inst. Math. Sci. 53 (2017), no. 3, 349--370.
fujita-type-prims.pdf
[81] Corrigendum: Direct images of relative pluricanonical bundles.
Algebraic Geometry 3 (2016), no. 2, 261--263.
corrigendum-AG.pdf
[82] Koll\'ar-type effective freeness for quasi-log canonical
pairs. Internat. J. Math. 27, no. 14 (2016) 1650114, 15pp.
kollartype.pdf
[83] (with Shin-ichi Matsumura) Injectivity theorem for pseudo-effective line bundles and
its applications. Trans. Amer. Math. Soc. Ser. B 8 (2021), 849--884.
fm_injectivity_Transaction_v8.pdf
[84] Koll\'ar--Nadel type vanishing theorem. Southeast Asian Bull. Math. 42
(2018) no. 5, 643--646.
kollar-nadel.pdf
[85] (with Taro Fujisawa) On semipositivity theorems.
Math. Res. Lett. 26 (2019), no. 5, 1359--1382.
OnSemipositivity6.pdf
[86] (with Shigefumi Mori) Dialogue: On the Mori theory---From the birth to recent developments---(Japanese),
Sugaku 69 (2017), no. 3, 294--319.
[87] (with Hiroshi Sato) Notes on toric varieties from Mori theoretic viewpoint, II.
Nagoya Math. J. 239 (2020), 42--75.
notes-on-toric-II-ver16.pdf
[88] Relative Bertini type theorem for multiplier ideal sheaves. Osaka J. Math. 60 (2023), no. 1, 207--226.
relativekollar7.pdf, relativekollar12.pdf
[89] (with Haidong Liu) On normalization of quasi-log canonical pairs.
Proc. Japan Acad. Ser. A Math. Sci. 94 (2018), no. 10, 97--101.
normalization7.pdf
[90] (with Wenfei Liu) Simple connectedness of Fano log pairs with semi-log canonical
singularities. Math. Z. 295 (2020), no. 1-2, 341--348.
slc-Fano-Apr11-Wenfei.pdf
[91] Iitaka conjecture: An Introduction. SpringerBriefs in Mathematics.
Springer, Singapore (2020).
[92] Fundamental properties of basic slc-trivial fibrations I. Publ. Res. Inst. Math. Sci. 58 (2022), no. 3, 473--526.
SLC-fibrations5.pdf,
SLC-fibrations9.pdf,
basic-slc-I.pdf
[93] (with Haidong Liu) Quasi-log canonical pairs are Du Bois. J. Algebraic Geom. 31 (2022), no. 1, 105--112.
qlc-DuBois4.pdf
[94] Subadjunction for quasi-log canonical pairs and its applications.
Publ. Res. Inst. Math. Sci. 58 (2022), no. 4, 669--691.
subadjunction-prims.pdf
[95] (with Hiroshi Sato) Toric Fano contractions associated to long extremal rays.
Tohoku Math. J. (2) 72 (2020), no. 1, 77--86.
lenfthfano9.pdf
[96] (with Haidong Liu) Fujita-type freeness for quasi-log canonical curves and surfaces.
Kyoto J. Math. 60 (2020), no. 4, 1453--1467.
fujita-type-qlc3.pdf
[97] (with Taro Fujisawa, Haidong Liu) Fundamental properties of basic slc-trivial fibrations II. Publ. Res. Inst. Math. Sci. 58 (2022), no. 3, 527--549.
semiampleness10.pdf,
basic-slc-II.pdf
[98] (with Haidong Liu) On the log canonical ring of projective plt pairs with the Kodaira dimension
two. Ann. Inst. Fourier (Grenoble) 70 (2020), no. 4, 1775--1789.
[99] Minimal model theory for log surfaces in Fujiki's class C. Nagoya Math. J. 244 (2021), 256--282.
kahlersurface6.pdf,
surfaces-classC2.pdf
[100] Corrigendum to "On subadditivity of the logarithmic Kodaira dimension".
J. Math. Soc. Japan 72 (2020), no. 4, 1181--1187.
corrigendum-fujino.pdf
[101] On mixed-$\omega$-sheaves. Asian J. Math. 28 (2024), no. 2, 197--242.
log-omega-sheaf9.pdf
[102] (with Keisuke Miyamoto) A characterizsation of projective spaces from the Mori theoretic
viewpoint. Osaka J. Math. 58 (2021), no. 4, 827--837.
projective-space5.pdf
[103] A relative spannedness for log canonical pairs and quasi-log canonical pairs.
Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 23 (2022), no. 1, 265--292. a-relative10.pdf
[104] On minimal model theory for algebraic log surfaces. Taiwanese J. Math. 25 (2021), no. 3, 477--489.
GMRLC7.pdf,
GMRLC-final.pdf
[105] Cone theorem and Mori hyperbolicity. to appear in J. Differential
Geom. cone-hyperbolic12.pdf,
cone-hyperbolic19.pdf,
cone-hyperbolic-final.pdf
[106] (with Keisuke Miyamoto) Nakai--Moishezon ampleness criterion for real line bundles. Math. Ann. 385 (2023), no. 1-2, 459--470.
Nakai-Moishezon3.pdf
[107] On Nakayama's theorem. J. Math. Sci. Univ. Tokyo 28 (2021), no. 4, 641--650.
Nakayama-thm-final.pdf, nakayama-hosoku.pdf
[108] (with Kenta Hashizume) Existence of log canonical modifications and its applications. Eur. J. Math. 9 (2023), no. 1, 13.
lc-model-fujino-hashizume-draft-7-EJM-rev-normalstylefile.pdf .
[109] (with Kenta Hashizume) Adjunction and inversion of adjunction. Nagoya Math. J. 249 (2023), 119--147.
IOA15-final-normalstyle.pdf
[110] On quasi-log schemes. J. Math. Soc. Japan 75 (2023), no. 3,
829--856. on-ql-schemes2.pdf, on-ql-schemes5.pdf
[111] (with Kenta Hashizume) On inversion of adjunction. Proc. Japan Acad. Ser. A Math. Sci. 98 (2022), no. 2, 13--18.
hacon'sB-7.pdf, Hacon-Bdiv-pja3.pdf
[112] Minimal model program for projective morphisms between complex analytic spaces. preprint (2022).
analytic-bchm-ver5.pdf, analytic-bchm-ver6.pdf
[113] ACC for log canonical thresholds for complex analytic spaces. to appear in Higher Dimensional Algebraic Geometry.
ACC2.pdf, ACC4.pdf
[114] Vanishing theorems for projective morphisms between complex analytic spaces. to appear in Math. Res. Lett.
analytic-vanishing9.pdf,
analytic-vanishing17.pdf,
analytic-vanishing18.pdf
[115] Cone and contraction theorem for projective morphisms between complex analytic spaces.
MSJ Memoirs, 42. Mathematical Society of Japan, Tokyo, 2024.
[116] Quasi-log structures on complex analytic spaces. preprint (2022), submitted.
analytic-quasi-log.pdf, analytic-quasi-log6.pdf
[117] (with Taro Fujisawa) Variation of mixed Hodge structure and its applications. preprint (2023), submitted.
ff-vmhs-applications2.pdf,
vmhs-applications.pdf,
vmhs-applications2.pdf
[118] (with Sho Ejiri and Masataka Iwai) Positivity of extensions of vector
bundles. Math. Z. 306 (2024), no. 3, Paper No. 47, 8 pp.
extension_wp2_revise.pdf
[119] On vanishing theorems for analytic spaces. Proc. Japan Acad. Ser. A Math. Sci. 100 (2024), no. 4, 21--25.
analytic-vanishing-pja2.pdf
[120] Log canonical inversion of adjunction. Proc. Japan Acad. Ser. A Math. Sci. 100 (2024), no. 2, 7--11.
on-inversion-of-adjunction-pja-final.pdf
[121] (with Hiroshi Sato) A remark on toric foliations. Arch. Math. (Basel) 122 (2024), no. 6, 621--627.
toric-foliation11.pdf
[122] (with Margerida Mendes Lopes, Rita Pardini, and Sofia Tirabassi) Erratum to "A footnote
to a theorem of Kawamata". Math. Nachr. 297 (2024), no. 11, 4356--4359. footnoteII8.pdf
[123] (with Taro Fujisawa) On the Kodaira dimension. to appear in Ann. Inst. Fourier (Grenoble).
on-kodaira3.pdf (2024/4/7),
on-kodaira12.pdf (2024/7/9)
[124] On finiteness of relative log pluricanonical representations. preprint (2024)
analytic-abundance3.pdf (2024/6/4)
[125] (with Hiroshi Sato) On toric foliated pairs. preprint (2024), submitted.
toric-foliated-pairs.pdf (2024/10/20),
toric-foliated-pairs2.pdf (2024/10/27),
toric-foliated-pairs3.pdf (2024/11/14)
[126] (with Hiroshi Sato) On non-projective complete toric varieties. preprint (2024), submitted.
toric-projectivity09.pdf
[127] Suppelement to "On quasi-Albanese maps". preprint (2024), submitted.
supplement-qAm3.pdf (2025/1/5)
[128] (with Jinsong Xu) Remarks on log pluricanonical representations. preprint (2025), submitted.
remarks-on-log-pluricanonical2.pdf (2025/1/16)
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