Private Notes
On Special Termination st-HP.ps
On Reduction Theorem rt-HP.ps
On Diophantine Approximation (with Hiromichi Takagi) da-HP.ps
A letter of a log minimal modeler --What is log terminal ?-- lt-HP.ps
A remark on the log MMP tq-HP.ps, tq-HP.pdf
${\overline C}_{n,n-1}$ revisited re-HP.pdf
An example of toric flops (with Hiroshi Sato) fl2-HP.pdf
Flips vs Flops ff-HP3.pdf
On Ohsawa's injectivity theorem (2005/1/27, 2005/11/14).
A lemma on flips (2005/7/22) le-HP.pdf
A remark on the base point free theorem (2005/8/19).
$mathbb P(V^*)\times \mathbb P(V^*)\dashrightarrow \Grass(2,
V)$ (2006/2/8).
A memorandum to the invariance of plurigenera (2006/3/28) in-HP.pdf
On log canonical singularities (2007/9/1)
lc-sing-HP.pdf
A sample computation of higher cohomology groups (2008/5/29)
nonvanishing.pdf.
Kawamata--Viehweg vanishing theorem (2009/7/22)
kawamata--viehweg2.pdf
Big $\mathbb R$-divisors (2009/7/26)
big-r-divisor5.pdf.
n.
rational.pdf
moromoro02.pdf
BCHM01.pdf
permissible.pdf
vani-part.pdf
length-v2.pdf
quasi-proj.pdf
resolution3.pdf
hodge-part-2.pdf
lsurface.pdf
Fujita's vanishing theorem (2011/9/16) fujita-vani6.pdf
Enoki's injectivity theorem (2011/9/20) enoki-inj.pdf
On rational chain connectedness (2023/3/4) RCC.pdf
On defornations of terminal and canonical singularities (2023/3/14) deformations4.pdf
Adjunction for purely log terminal pairs (2023/5/6) adjunction-for-plt.pdf
On finite generation of adjoint rings (2023/5/6) finite-generation.pdf
On vanishing theorems for non-compact analytic spaces (2023/5/23)
fujiki-vanishing.pdf
On relative Fano pairs (2023/11/28)
analytic-relativeMDS.pdf
On strong $\mathbb Q$-factoriality (2024/3/28)
on-strongly-Q-factoriality.pdf
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