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. preprint (2014), submitted. 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. to appear in Asian J. Math. 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. preprint (2022), submitted. analytic-lc5.pdf, analytic-lc10.pdf, cone-and-contraction.pdf
[116] Quasi-log structures on complex analytic spaces. preprint (2022). analytic-quasi-log.pdf, analytic-quasi-log4.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". to appear in Math. Nachr. footnoteII8.pdf
[123] (with Taro Fujisawa) On the Kodaira dimension. preprint (2024). on-kodaira3.pdf (2024/4/7)
[124] On finiteness of relative log pluricanonical representations. preprint (2024/6/4)

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