Shunsuke Takagi

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All published works

Action	Title	Year	Authors
+ PDF Chat	Threefolds of globally $F$-regular type with nef anti-canonical divisor	2024	Paolo Cascini Tatsuro Kawakami Shunsuke Takagi
+	Weak Akizuki–Nakano vanishing theorem for singular globally F-split 3-folds	2024	Kenta Sato Shunsuke Takagi
+ PDF Chat	Deformations of Log Terminal and Semi Log Canonical Singularities	2023	Kenta Sato Shunsuke Takagi
+	On the behavior of adjoint ideals under pure morphisms	2023	Shunsuke Takagi Tatsuki Yamaguchi
+	Deformations of log terminal and semi log canonical singularities	2022	Kenta Sato Shunsuke Takagi
+	Arithmetic and geometric deformations of $F$-pure and $F$-regular singularities	2021	Kenta Sato Shunsuke Takagi
+	Weak Akizuki-Nakano vanishing theorem for globally $F$-split 3-folds	2019	Kenta Sato Shunsuke Takagi
+ PDF Chat	The weak ordinarity conjecture and $F$-singularities	2018	Bhargav Bhatt Karl Schwede Shunsuke Takagi
+	Finitistic test ideals on numerically <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="double-struck">Q</mml:mi></mml:math>-Gorenstein varieties	2018	Shunsuke Takagi
+ PDF Chat	GENERAL HYPERPLANE SECTIONS OF THREEFOLDS IN POSITIVE CHARACTERISTIC	2018	Kenta Sato Shunsuke Takagi
+ PDF Chat	Kollár’s injectivity theorem for globally F-regular varieties	2018	Yoshinori Gongyo Shunsuke Takagi
+ PDF Chat	$F$-singularities: applications of characteristic $p$ methods to singularity theory	2018	Shunsuke Takagi Kei-ichi Watanabe
+	Kollár's injectivity theorem for globally $F$-regular varieties	2018	Yoshinori Gongyo Shunsuke Takagi
+	General hyperplane sections of threefolds in positive characteristic	2017	Kenta Sato Shunsuke Takagi
+	Finitistic test ideals on numerically $\mathbb{Q}$-Gorenstein varieties	2017	Shunsuke Takagi
+	Nilpotence of Frobenius action and the Hodge filtration on local cohomology	2016	Vasudevan Srinivas Shunsuke Takagi
+ PDF Chat	A Gorenstein Criterion for Strongly<i>F</i>-Regular and Log Terminal Singularities	2016	Anurag K. Singh Shunsuke Takagi Matteo Varbaro
+	A Gorenstein criterion for strongly $F$-regular and log terminal singularities	2016	Anurag K. Singh Shunsuke Takagi Matteo Varbaro
+	A Gorenstein criterion for strongly $F$-regular and log terminal singularities	2016	Anurag K. Singh Shunsuke Takagi Matteo Varbaro
+ PDF Chat	On the relationship between depth and cohomological dimension	2015	Hailong Dao Shunsuke Takagi
+ PDF Chat	Surfaces of globally F-regular and F-split type	2015	Yoshinori Gongyo Shunsuke Takagi
+ PDF Chat	Comparing multiplier ideals to test ideals on numerically ℚ‐Gorenstein varieties	2015	Tommaso de Fernex Roi Docampo Shunsuke Takagi Kevin Tucker
+	Nilpotence of Frobenius action and the Hodge filtration on local cohomology	2015	Vasudevan Srinivas Shunsuke Takagi
+	Characterization of varieties of Fano type via singularities of Cox rings	2014	Yoshinori Gongyo Shinnosuke Okawa Akiyoshi Sannai Shunsuke Takagi
+	$F$-singularities: applications of characteristic $p$ methods to singularity theory	2014	Shunsuke Takagi Kei-ichi Watanabe
+ PDF Chat	Adjoint ideals and a correspondence between log canonicity and<i>F</i>-purity	2013	Shunsuke Takagi
+ PDF Chat	On the -purity of isolated log canonical singularities	2013	Osamu Fujino Shunsuke Takagi
+	The weak ordinarity conjecture and $F$-singularities	2013	Bhargav Bhatt Karl Schwede Shunsuke Takagi
+	Surfaces of globally $F$-regular and $F$-split type	2013	Yoshinori Gongyo Shunsuke Takagi
+ PDF Chat	A subadditivity formula for multiplier ideals associated to log pairs	2012	Shunsuke Takagi
+	Characterization of varieties of Fano type via singularities of Cox rings	2012	Yoshinori Gongyo Shinnosuke Okawa Akiyoshi Sannai Shunsuke Takagi
+	SUPPLEMENTS TO NON-LC IDEAL SHEAVES (Higher Dimensional Algebraic Geometry)	2011	Osamu Fujino Karl Schwede Shunsuke Takagi
+	Adjoint ideals and a correspondence between log canonicity and F-purity	2011	Shunsuke Takagi
+	On the F-purity of isolated log canonical singularities	2011	Osamu Fujino Shunsuke Takagi
+	A subadditivity formula for multiplier ideals associated to log pairs	2011	Shunsuke Takagi
+ PDF Chat	Multiplicity bounds in graded rings	2011	Craig Huneke Shunsuke Takagi Kei-ichi Watanabe
+	Supplements to non-lc ideal sheaves	2010	Osamu Fujino Karl Schwede Shunsuke Takagi
+ PDF Chat	Adjoint ideals along closed subvarieties of higher codimension	2010	Shunsuke Takagi
+ PDF Chat	Discreteness and rationality of F-jumping numbers on singular varieties	2009	Manuel Blickle Karl Schwede Shunsuke Takagi Wenliang Zhang
+ PDF Chat	F-thresholds and Bernstein–Sato Polynomials	2009	Mircea Mustaţǎ Shunsuke Takagi Kei-ichi Watanabe
+ PDF Chat	Log canonical thresholds of binomial ideals	2009	Takafumi Shibuta Shunsuke Takagi
+ PDF Chat	Rational singularities associated to pairs	2008	Karl Schwede Shunsuke Takagi
+	F-Thresholds, tight closure, integral closure, and multiplicity bounds	2008	Craig Huneke Mircea Mustaţǎ Shunsuke Takagi Kenichi Watanabe
+ PDF Chat	Generalized test ideals and symbolic powers	2008	Shunsuke Takagi Ken-ichi Yoshida
+	Log canonical thresholds of binomial ideals	2008	Takafumi Shibuta Shunsuke Takagi
+ PDF Chat	$D$-modules over rings with finite F-representation type	2008	Shunsuke Takagi Ryo Takahashi
+ PDF Chat	A characteristic p analogue of plt singularities and adjoint ideals	2007	Shunsuke Takagi
+	Recent topics on Multiplier Ideals(Arc Spaces and Multiplier Ideals)	2007	Shunsuke Takagi Daisuke Hirose
+	D-modules over rings with finite F-representation type	2007	Shunsuke Takagi Ryo Takahashi
+	Adjoint ideals along closed subvarieties of higher codimension	2007	Shunsuke Takagi
+	Generalized test ideals and symbolic powers	2007	Shunsuke Takagi Ken-ichi Yoshida
+	Rational singularities associated to pairs	2007	Karl Schwede Shunsuke Takagi
+	F-thresholds, tight closure, integral closure, and multiplicity bounds	2007	Craig Huneke Mircea Mustaţă Shunsuke Takagi Kei-ichi Watanabe
+ PDF Chat	Formulas for multiplier ideals on singular varieties	2006	Shunsuke Takagi
+	A characteristic p analogue of plt singularities and adjoint ideals	2006	Shunsuke Takagi
+	On F-pure thresholds	2004	Shunsuke Takagi Kei-ichi Watanabe
+ PDF Chat	F-singularities of pairs and Inversion of Adjunction of arbitrary codimension	2004	Shunsuke Takagi
+ PDF Chat	An interpretation of multiplier ideals via tight closure	2004	Shunsuke Takagi
+	When does the subadditivity theorem for multiplier ideals hold?	2004	Shunsuke Takagi Kei-ichi Watanabe
+	F-thresholds and Bernstein-Sato polynomials	2004	Mircea Mustaţǎ Shunsuke Takagi Kei-ichi Watanabe
+ PDF Chat	On a generalization of test ideals	2004	Nobuo Hara Shunsuke Takagi
+	Formulas for multiplier ideals on singular varieties	2004	Shunsuke Takagi
+	On F-pure thresholds	2003	Shunsuke Takagi Kei-ichi Watanabe
+	On F-pure thresholds	2003	Shunsuke Takagi Kei-ichi Watanabe
+	Some remarks on a generalization of test ideals	2002	Nobuo Hara Shunsuke Takagi
+	When does the subadditivity theorem for multiplier ideals hold?	2002	Shunsuke Takagi Kei-ichi Watanabe
+	On a generalization of test ideals	2002	Nobuo Hara Shunsuke Takagi
+	An interpretation of multiplier ideals via tight closure	2001	Shunsuke Takagi
+ PDF Chat	Approximate analytical solution of a Stefan’s problem in a finite domain	1988	Shunsuke Takagi

Common Coauthors

Coauthor	Papers Together
Kei-ichi Watanabe	11
Karl Schwede	7
Yoshinori Gongyo	6
Kenta Sato	6
Osamu Fujino	4
Mircea Mustaţă	4
Nobuo Hara	3
Craig Huneke	3
Matteo Varbaro	3
Takafumi Shibuta	2
Shinnosuke Okawa	2
Akiyoshi Sannai	2
Ryo Takahashi	2
Ken-ichi Yoshida	2
Anurag K. Singh	2
Vasudevan Srinivas	2
Bhargav Bhatt	2
Anurag K. Singh	1
Tatsuro Kawakami	1
Manuel Blickle	1
Tommaso de Fernex	1
Hailong Dao	1
Kevin Tucker	1
Roi Docampo	1
Wenliang Zhang	1
Tatsuki Yamaguchi	1
Paolo Cascini	1
Kenichi Watanabe	1
Kenta Sato	1
Daisuke Hirose	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	A generalization of tight closure and multiplier ideals	2003	Nobuo Hara Ken Yoshida	42
+	F-regular and F-pure rings vs. log terminal and log canonical singularities	2001	Nobuo Hara Kei-ichi Watanabe	37
+ PDF Chat	On a generalization of test ideals	2004	Nobuo Hara Shunsuke Takagi	30
+ PDF Chat	Tight closure and strong F-regularity	1989	Melvin Hochster Craig Huneke	22
+ PDF Chat	Tight closure, invariant theory, and the Briançon-Skoda theorem	1990	Melvin Hochster Craig Huneke	22
+	Birational Geometry of Algebraic Varieties	1998	Janós Kollár Шигефуми Мори	20
+ PDF Chat	An interpretation of multiplier ideals via tight closure	2004	Shunsuke Takagi	18
+ PDF Chat	𝐹-purity and rational singularity	1983	Richard Fedder	18
+	F-rational rings have rational singularities	1997	Karen E. Smith	18
+	Globally F-regular and log Fano varieties	2010	Karl Schwede Karen E. Smith	17
+	Positivity in Algebraic Geometry I	2004	Robert Lazarsfeld	17
+	Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero: I	1964	Heisuke Hironaka	17
+ PDF Chat	A characterization of rational singularities in terms of injectivity of Frobenius maps	1998	Nobuo Hara	16
+ PDF Chat	F-singularities of pairs and Inversion of Adjunction of arbitrary codimension	2004	Shunsuke Takagi	14
+	The purity of the Frobenius and local cohomology	1976	Melvin Hochster Joel Roberts	13
+ PDF Chat	Inversion of adjunction on log canonicity	2006	Masayuki Kawakita	13
+ PDF Chat	Ordinary varieties and the comparison between multiplier ideals and test ideals	2011	Mircea Mustaţă Vasudevan Srinivas	13
+ PDF Chat	Formulas for multiplier ideals on singular varieties	2006	Shunsuke Takagi	13
+ PDF Chat	A subadditivity property of multiplier ideals.	2000	Jean-Pierre Demailly Lawrence Ein Robert Lazarsfeld	12
+ PDF Chat	Geometric interpretation of tight closure and test ideals	2001	Nobuo Hara	12
+ PDF Chat	A characterization of rational singularities	1997	V. B. Mehta V. Srinivas	11
+ PDF Chat	A simple characterization of Du Bois singularities	2007	Karl Schwede	11
+ PDF Chat	Uniform bounds and symbolic powers on smooth varieties	2001	Lawrence Ein Robert Lazarsfeld Karen E. Smith	11
+	The multiplier ideal is a universal test ideal	2000	Karen E. Smith	10
+ PDF Chat	Some results on test elements	1999	Ian M. Aberbach Brian Cameron MacCrimmon	10
+ PDF Chat	Discreteness and rationality of F-thresholds	2008	Manuel Blickle Mircea Mustaţă Karen E. Smith	9
+	F-thresholds and Bernstein-Sato polynomials	2004	Mircea Mustaţǎ Shunsuke Takagi Kei-ichi Watanabe	9
+ PDF Chat	A characteristic p analogue of plt singularities and adjoint ideals	2007	Shunsuke Takagi	9
+ PDF Chat	Discreteness and rationality of F-jumping numbers on singular varieties	2009	Manuel Blickle Karl Schwede Shunsuke Takagi Wenliang Zhang	9
+	Tight Closure and Its Applications	1996	Craig Huneke	9
+	On F-pure thresholds	2004	Shunsuke Takagi Kei-ichi Watanabe	8
+	On the three dimensional minimal model program in positive characteristic	2014	Christopher D. Hacon Chenyang Xu	8
+ PDF Chat	Centers of F-purity	2009	Karl Schwede	8
+	Normal F-pure surface singularities	1991	V. B. Mehta V. Srinivas	8
+	Strong and weak F -regularity are equivalent for graded rings	1999	Gennady Lyubeznik Karen E. Smith	8
+	Frobenius Splitting and Cohomology Vanishing for Schubert Varieties	1985	V. B. Mehta A. Ramanathan	8
+ PDF Chat	Existence of minimal models for varieties of log general type	2009	Caucher Birkar Paolo Cascini Christopher D. Hacon James M textupc Kernan	8
+ PDF Chat	Multiplier ideals and modules on toric varieties	2004	Manuel Blickle	8
+ PDF Chat	Globally F-regular varieties: applications to vanishing theorems for quotients of Fano varieties.	2000	Karen E. Smith	8
+ PDF Chat	Generalized test ideals, sharp $F$-purity, and sharp test elements	2008	Karl Schwede	8
+	Multiplier ideals of monomial ideals	2001	Jason Howald	7
+	F-modules: applications to local cohomology and D-modules in characteristic p>0.	1997	Gennady Lyubeznik	7
+	F-regular and F-pure normal graded rings	1991	Kei-ichi Watanabe	7
+ PDF Chat	Comparison of symbolic and ordinary powers of ideals	2002	Melvin Hochster Craig Huneke	7
+	Rees Algebras of F-regular Type	2002	Nobuo Hara K. Watanabe Ken Yoshida	7
+ PDF Chat	Rational singularities, with applications to algebraic surfaces and unique factorization	1969	Joseph Lipman	7
+ PDF Chat	Singularities on normal varieties	2009	Tommaso de Fernex Christopher D. Hacon	7
+	A Characterization of F-Regularity in Terms of F-Purity	1989	Richard Fedder Kei-ichi Watanabe	6
+	Local Cohomological Dimension in Characteristic p	1977	Robin Hartshorne Robert Speiser	6
+ PDF Chat	Rational singularities associated to pairs	2008	Karl Schwede Shunsuke Takagi	6