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## Saito, Takeshi

Compute Distance To:
 Author ID: saito.takeshi Published as: Saito, Takeshi; Saito, T.; Saitō, Takeshi External Links: IdRef · MGP · theses.fr · Wikidata
 Documents Indexed: 68 Publications since 1984, including 5 Books
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#### Co-Authors

 40 single-authored 8 Kato, Kazuya 6 Abbes, Ahmed 3 Arimitsu, Toshihico 3 Kurokawa, Nobushige 2 Terasoma, Tomohide 1 Adachi, Takeshi 1 Inamuro, Takaji 1 Kurihara, Masato 1 Kurosawa, Kaoru 1 Leal, Isabel 1 Lee, Junghoon 1 Liu, Qing 1 Saito, Shuji 1 Sakurai, Kouichi 1 Wada, Tatsuaki 1 Yagasaki, Kazuyuki 1 Yatagawa, Yuri
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#### Serials

 6 Inventiones Mathematicae 5 RIMS Kokyuroku 5 Translations of Mathematical Monographs 4 Journal of Algebraic Geometry 3 American Journal of Mathematics 3 Compositio Mathematica 2 Duke Mathematical Journal 2 Publications Mathématiques 2 Mathematische Annalen 2 Journal of the Institute of Mathematics of Jussieu 1 Computers and Structures 1 Physica A 1 Shock Waves 1 Acta Mathematica Vietnamica 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Commentarii Mathematici Helvetici 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Nagoya Mathematical Journal 1 Proceedings of the Japan Academy. Series A 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Tohoku Mathematical Journal. Second Series 1 Sūgaku 1 Journal of the American Mathematical Society 1 Sugaku Expositions 1 Journal of Physics A: Mathematical and General 1 Journal of Knot Theory and its Ramifications 1 Journal de Théorie des Nombres de Bordeaux 1 Journal of Mathematical Sciences. University of Tokyo 1 Mathematical Research Letters 1 Documenta Mathematica 1 Annals of Mathematics. Second Series 1 RIMS Kôkyûroku Bessatsu 1 Journal of Computational Dynamics 1 Épijournal de Géométrie Algébrique. EPIGA 1 Tunisian Journal of Mathematics
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#### Fields

 51 Algebraic geometry (14-XX) 36 Number theory (11-XX) 3 Probability theory and stochastic processes (60-XX) 3 Quantum theory (81-XX) 2 $$K$$-theory (19-XX) 2 Manifolds and cell complexes (57-XX) 2 Fluid mechanics (76-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX)

#### Citations contained in zbMATH Open

47 Publications have been cited 430 times in 247 Documents Cited by Year
Ramification of local fields with imperfect residue fields. Zbl 1084.11064
Abbes, Ahmed; Saito, Takeshi
2002
Modular forms and $$p$$-adic Hodge theory. Zbl 0877.11034
Saito, Takeshi
1997
Weight spectral sequences and independence of $$\ell$$. Zbl 1084.14027
Saito, Takeshi
2003
On the conductor formula of Bloch. Zbl 1099.14009
Kato, Kazuya; Saito, Takeshi
2004
Conductor, discriminant, and the Noether formula of arithmetic surfaces. Zbl 0657.14017
Saito, Takeshi
1988
Log smooth extension of a family of curves and semi-stable reduction. Zbl 1082.14032
Saito, Takeshi
2004
Vanishing cycles and geometry of curves over a discrete valuation ring. Zbl 0673.14014
Saito, Takeshi
1987
Hilbert modular forms and $$p$$-adic Hodge theory. Zbl 1259.11060
Saito, Takeshi
2009
Ramification of local fields with imperfect residue fields. II. Zbl 1127.11349
Abbes, Ahmed; Saito, Takeshi
2003
Ramification theory for varieties over a perfect field. Zbl 1172.14011
Kato, Kazuya; Saito, Takeshi
2008
The characteristic cycle and the singular support of a constructible sheaf. Zbl 1437.14016
Saito, Takeshi
2017
Wild ramification and the characteristic cycle of an $$\ell$$-adic sheaf. Zbl 1177.14044
Saito, Takeshi
2009
$$\varepsilon$$-factor of a tamely ramified sheaf on a variety. Zbl 0790.14016
Saito, Takeshi
1993
Microlocal $$\ell$$-adic analysis in characteristic $$p>0$$ in the case of a trait. (Analyse micro-locale $$\ell$$-adique en caractéristique $$p>0$$ le cas d’un trait.) Zbl 1225.11151
Abbes, Ahmed; Saito, Takeshi
2009
The characteristic class and ramification of an $$\ell$$-adic étale sheaf. Zbl 1169.14014
Abbes, Ahmed; Saito, Takeshi
2007
Ramification and cleanliness. Zbl 1239.14012
Abbes, Ahmed; Saito, Takeshi
2011
Wild ramification and the cotangent bundle. Zbl 1401.14107
Saito, Takeshi
2017
Ramification theory for varieties over a local field. Zbl 1290.14011
Kato, Kazuya; Saito, Takeshi
2013
Characteristic cycle and the Euler number of a constructible sheaf on a surface. Zbl 1348.14052
Saito, Takeshi
2015
Determinant of period integrals. Zbl 0956.14005
Saito, Takeshi; Terasoma, Tomohide
1997
Number theory 2. Introduction to class field theory. Transl. from the Japanese by Masata Kuwata in cooperation with Katsumi Nomizu. Zbl 1232.11120
Kato, Kazuya; Kurokawa, Nobushige; Saito, Takeshi
2011
Artin characters for algebraic surfaces. Zbl 0673.14020
Kato, Kazuya; Saito, Shuji; Saito, Takeshi
1988
Ramification of local fields with imperfect residue fields. III. Zbl 1247.11146
Saito, Takeshi
2012
Self-intersection 0-cycles and coherent sheaves on arithmetic schemes. Zbl 0687.14004
Saito, Takeshi
1988
Local Fourier transform and epsilon factors. Zbl 1206.14034
Abbes, Ahmed; Saito, Takeshi
2010
Wild ramification determines the characteristic cycle. (La ramification sauvage détermine le cycle caractéristique.) Zbl 1399.14004
Saito, Takeshi; Yatagawa, Yuri
2017
The Euler numbers of $$l$$-adic sheaves of rank 1 in positive characteristic. Zbl 0786.14009
Saito, Takeshi
1991
The discriminants of curves of genus 2. Zbl 0703.14021
Saito, Takeshi
1989
The discriminant and the determinant of a hypersurface of even dimension. Zbl 1285.14046
Saito, Takeshi
2012
Axisymmetric shock wave interaction with a cone: a benchmark test. Zbl 1267.76054
Sun, M.; Saito, T.; Jacobs, P. A.; Timofeev, E. V.; Ohtani, K.; Takayama, K.
2005
Jacobi sum Hecke characters, de Rham discriminant, and the determinant of $$\ell$$-adic cohomologies. Zbl 0833.14011
Saito, Takeshi
1994
Parity in Bloch’s conductor formula in even dimension. Zbl 1093.14030
Saito, Takeshi
2004
Number theory 1. Fermat’s dream. Transl. from the Japanese by Masato Kuwata. Zbl 0953.11003
Kato, Kazuya; Kurokawa, Nobushige; Saito, Takeshi
2000
Trace formula for vanishing cycles of curves. Zbl 0588.14020
Saito, Takeshi
1987
Characteristic cycle of the external product of constructible sheaves. Zbl 1401.14037
Saito, Takeshi
2017
The sign of the functional equation of the $$L$$-function of an orthogonal motive. Zbl 0821.14011
Saito, Takeshi
1995
A system of quantum stochastic differential equations in terms of non-equilibrium thermo field dynamics. Zbl 0926.60053
Saito, Takeshi; Arimitsu, Toshihico
1997
4 move perfect ZKIP of knowledge with no assumption. Zbl 0938.68635
Saito, Takeshi; Kurosawa, Kaoru; Sakurai, Kouichi
1993
Wild ramification of schemes and sheaves. Zbl 1226.14030
Saito, Takeshi
2011
Local constant of $$\text{Ind}^ l_ k 1$$. Zbl 0870.11073
Saito, Takeshi
1995
Number theory 3. Iwasawa theory and modular forms. Transl. from the Japanese by Masato Kuwata. Zbl 1259.11001
Kurokawa, Nobushige; Kurihara, Masato; Saito, Takeshi
2012
Inequality for conductor and differentials of a curve over a local field. Zbl 0992.14008
Liu, Qing; Saito, Takeshi
2000
Weight-monodromy conjecture for $$\ell$$-adic representations associated to modular forms: A supplement to the paper: “Modular forms and $$p$$-adic Hodge theory”. Zbl 0990.11035
Saito, Takeshi
2000
A determinant formula for period integrals. Zbl 0824.19003
Saito, Takeshi; Terasoma, Tomohide
1993
Vanishing cycles and differentials of curves over a discrete valuation ring. Zbl 0673.14015
Saito, Takeshi
1987
Coincidence of two Swan conductors of abelian characters. Zbl 1458.11164
Kato, Kazuya; Saito, Takeshi
2019
On the proper push-forward of the characteristic cycle of a constructible sheaf. Zbl 1451.14017
Saito, Takeshi
2018
Coincidence of two Swan conductors of abelian characters. Zbl 1458.11164
Kato, Kazuya; Saito, Takeshi
2019
On the proper push-forward of the characteristic cycle of a constructible sheaf. Zbl 1451.14017
Saito, Takeshi
2018
The characteristic cycle and the singular support of a constructible sheaf. Zbl 1437.14016
Saito, Takeshi
2017
Wild ramification and the cotangent bundle. Zbl 1401.14107
Saito, Takeshi
2017
Wild ramification determines the characteristic cycle. (La ramification sauvage détermine le cycle caractéristique.) Zbl 1399.14004
Saito, Takeshi; Yatagawa, Yuri
2017
Characteristic cycle of the external product of constructible sheaves. Zbl 1401.14037
Saito, Takeshi
2017
Characteristic cycle and the Euler number of a constructible sheaf on a surface. Zbl 1348.14052
Saito, Takeshi
2015
Ramification theory for varieties over a local field. Zbl 1290.14011
Kato, Kazuya; Saito, Takeshi
2013
Ramification of local fields with imperfect residue fields. III. Zbl 1247.11146
Saito, Takeshi
2012
The discriminant and the determinant of a hypersurface of even dimension. Zbl 1285.14046
Saito, Takeshi
2012
Number theory 3. Iwasawa theory and modular forms. Transl. from the Japanese by Masato Kuwata. Zbl 1259.11001
Kurokawa, Nobushige; Kurihara, Masato; Saito, Takeshi
2012
Ramification and cleanliness. Zbl 1239.14012
Abbes, Ahmed; Saito, Takeshi
2011
Number theory 2. Introduction to class field theory. Transl. from the Japanese by Masata Kuwata in cooperation with Katsumi Nomizu. Zbl 1232.11120
Kato, Kazuya; Kurokawa, Nobushige; Saito, Takeshi
2011
Wild ramification of schemes and sheaves. Zbl 1226.14030
Saito, Takeshi
2011
Local Fourier transform and epsilon factors. Zbl 1206.14034
Abbes, Ahmed; Saito, Takeshi
2010
Hilbert modular forms and $$p$$-adic Hodge theory. Zbl 1259.11060
Saito, Takeshi
2009
Wild ramification and the characteristic cycle of an $$\ell$$-adic sheaf. Zbl 1177.14044
Saito, Takeshi
2009
Microlocal $$\ell$$-adic analysis in characteristic $$p>0$$ in the case of a trait. (Analyse micro-locale $$\ell$$-adique en caractéristique $$p>0$$ le cas d’un trait.) Zbl 1225.11151
Abbes, Ahmed; Saito, Takeshi
2009
Ramification theory for varieties over a perfect field. Zbl 1172.14011
Kato, Kazuya; Saito, Takeshi
2008
The characteristic class and ramification of an $$\ell$$-adic étale sheaf. Zbl 1169.14014
Abbes, Ahmed; Saito, Takeshi
2007
Axisymmetric shock wave interaction with a cone: a benchmark test. Zbl 1267.76054
Sun, M.; Saito, T.; Jacobs, P. A.; Timofeev, E. V.; Ohtani, K.; Takayama, K.
2005
On the conductor formula of Bloch. Zbl 1099.14009
Kato, Kazuya; Saito, Takeshi
2004
Log smooth extension of a family of curves and semi-stable reduction. Zbl 1082.14032
Saito, Takeshi
2004
Parity in Bloch’s conductor formula in even dimension. Zbl 1093.14030
Saito, Takeshi
2004
Weight spectral sequences and independence of $$\ell$$. Zbl 1084.14027
Saito, Takeshi
2003
Ramification of local fields with imperfect residue fields. II. Zbl 1127.11349
Abbes, Ahmed; Saito, Takeshi
2003
Ramification of local fields with imperfect residue fields. Zbl 1084.11064
Abbes, Ahmed; Saito, Takeshi
2002
Number theory 1. Fermat’s dream. Transl. from the Japanese by Masato Kuwata. Zbl 0953.11003
Kato, Kazuya; Kurokawa, Nobushige; Saito, Takeshi
2000
Inequality for conductor and differentials of a curve over a local field. Zbl 0992.14008
Liu, Qing; Saito, Takeshi
2000
Weight-monodromy conjecture for $$\ell$$-adic representations associated to modular forms: A supplement to the paper: “Modular forms and $$p$$-adic Hodge theory”. Zbl 0990.11035
Saito, Takeshi
2000
Modular forms and $$p$$-adic Hodge theory. Zbl 0877.11034
Saito, Takeshi
1997
Determinant of period integrals. Zbl 0956.14005
Saito, Takeshi; Terasoma, Tomohide
1997
A system of quantum stochastic differential equations in terms of non-equilibrium thermo field dynamics. Zbl 0926.60053
Saito, Takeshi; Arimitsu, Toshihico
1997
The sign of the functional equation of the $$L$$-function of an orthogonal motive. Zbl 0821.14011
Saito, Takeshi
1995
Local constant of $$\text{Ind}^ l_ k 1$$. Zbl 0870.11073
Saito, Takeshi
1995
Jacobi sum Hecke characters, de Rham discriminant, and the determinant of $$\ell$$-adic cohomologies. Zbl 0833.14011
Saito, Takeshi
1994
$$\varepsilon$$-factor of a tamely ramified sheaf on a variety. Zbl 0790.14016
Saito, Takeshi
1993
4 move perfect ZKIP of knowledge with no assumption. Zbl 0938.68635
Saito, Takeshi; Kurosawa, Kaoru; Sakurai, Kouichi
1993
A determinant formula for period integrals. Zbl 0824.19003
Saito, Takeshi; Terasoma, Tomohide
1993
The Euler numbers of $$l$$-adic sheaves of rank 1 in positive characteristic. Zbl 0786.14009
Saito, Takeshi
1991
The discriminants of curves of genus 2. Zbl 0703.14021
Saito, Takeshi
1989
Conductor, discriminant, and the Noether formula of arithmetic surfaces. Zbl 0657.14017
Saito, Takeshi
1988
Artin characters for algebraic surfaces. Zbl 0673.14020
Kato, Kazuya; Saito, Shuji; Saito, Takeshi
1988
Self-intersection 0-cycles and coherent sheaves on arithmetic schemes. Zbl 0687.14004
Saito, Takeshi
1988
Vanishing cycles and geometry of curves over a discrete valuation ring. Zbl 0673.14014
Saito, Takeshi
1987
Trace formula for vanishing cycles of curves. Zbl 0588.14020
Saito, Takeshi
1987
Vanishing cycles and differentials of curves over a discrete valuation ring. Zbl 0673.14015
Saito, Takeshi
1987
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#### Cited by 235 Authors

 21 Saito, Takeshi 7 Nicaise, Johannes 6 Hu, Haoyu 5 Hattori, Shin 5 Illusie, Luc 5 Kato, Kazuya 5 Kisin, Mark 5 Nizioł, Wiesława 5 Yang, Enlin 4 Abbes, Ahmed 4 Halle, Lars Halvard 4 Khare, Chandrashekhar 4 Lorenzini, Dino J. 4 Xiao, Liang 3 Abe, Tomoyuki 3 Barquero-Sanchez, Adrian 3 Colmez, Pierre 3 Eriksson, Dennis 3 Gee, Toby 3 Laskar, Abhijit 3 Leal, Isabel 3 Liu, Qing 3 Masri, Riad 3 Nakayama, Chikara 3 Shin, Sug Woo 3 Terasoma, Tomohide 3 Tian, Yichao 3 Ulmer, Douglas L. 3 Wintenberger, Jean-Pierre 3 Yatagawa, Yuri 2 Achinger, Piotr 2 Banerjee, Debargha 2 Breuil, Christophe 2 Brumer, Armand 2 Busé, Laurent 2 Chida, Masataka 2 Chinburg, Ted 2 Diamond, Fred 2 Ding, Yiwen 2 Dospinescu, Gabriel 2 Esnault, Hélène 2 Fargues, Laurent 2 Freixas i Montplet, Gerard 2 Hien, Marco 2 Hiranouchi, Toshiro 2 Ito, Tetsushi 2 Kramer, Kenneth B. 2 Lbekkouri, Akram 2 Loeser, François 2 Lu, Qing 2 Marmora, Adriano 2 Matsumoto, Yuya 2 Mok, Chung Pang 2 Mokrane, Abdellah 2 Newton, James 2 Oi, Masao 2 Olsson, Martin C. 2 Orgogozo, Fabrice 2 Poineau, Jérôme 2 Raynaud, Michel 2 Sawin, William F. 2 Taylor, Martin J. 2 Taylor, Richard Lawrence 2 Templier, Nicolas 2 Tsushima, Takahiro 2 Ünver, Sinan 2 Vidal, Isabelle 2 Wewers, Stefan 2 Zhao, Yigeng 2 Zheng, Weizhe 2 Zhukov, Igor’ Borisovich 1 Afanas’eva, S. S. 1 Allen, Patrick B. 1 Arimitsu, Toshihico 1 Balanzario, Eugenio P. 1 Beilinson, Alexander A. 1 Bellardini, Alberto 1 Benois, Denis 1 Berger, Lisa 1 Bethea, Candace 1 Biswas, Sazzad Ali 1 Bloch, Spencer J. 1 Bondarko, Mikhail Vladimirovich 1 Bouw, Irene I. 1 Brown, Morgan V. 1 Bultot, Emmanuel 1 Buzzard, Kevin 1 Cadwallader, Lindsay 1 Cais, Bryden 1 Cannon, Olivia 1 Caraiani, Ana 1 Cass, Robert 1 Cassou-Noguès, Philippe 1 Cautis, Sabin 1 Cheng, Chuangxun 1 Cho, Bumkyu 1 Conrad, Brian 1 Costa, Edgar 1 Cuzub, Andrei 1 D’Agnolo, Andrea ...and 135 more Authors
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#### Cited in 71 Serials

 19 Compositio Mathematica 17 Inventiones Mathematicae 14 Mathematische Annalen 13 Journal of Number Theory 11 Manuscripta Mathematica 8 Duke Mathematical Journal 7 Advances in Mathematics 7 Mathematische Zeitschrift 7 Transactions of the American Mathematical Society 7 Journal of the American Mathematical Society 7 Journal of Algebraic Geometry 6 Annales de l’Institut Fourier 6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 6 Journal of Algebra 6 Journal de Théorie des Nombres de Bordeaux 6 Forum of Mathematics, Sigma 5 Journal of the Institute of Mathematics of Jussieu 4 Journal für die Reine und Angewandte Mathematik 4 Annals of Mathematics. Second Series 4 Japanese Journal of Mathematics. 3rd Series 3 Israel Journal of Mathematics 3 Publications Mathématiques 3 Tohoku Mathematical Journal. Second Series 3 Selecta Mathematica. New Series 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal de l’École Polytechnique – Mathématiques 3 Tunisian Journal of Mathematics 2 Mathematics of Computation 2 Memoirs of the American Mathematical Society 2 Proceedings of the American Mathematical Society 2 Proceedings of the Japan Academy. Series A 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Rendiconti del Seminario Matematico della Università di Padova 2 Tokyo Journal of Mathematics 2 International Journal of Mathematics 2 St. Petersburg Mathematical Journal 2 Documenta Mathematica 2 Acta Mathematica Sinica. English Series 2 International Journal of Number Theory 2 Research in the Mathematical Sciences 2 Research in Number Theory 1 Information Processing Letters 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 1 Glasgow Mathematical Journal 1 Journal of the Mathematical Society of Japan 1 Monatshefte für Mathematik 1 Nagoya Mathematical Journal 1 Proceedings of the London Mathematical Society. Third Series 1 Theoretical Computer Science 1 Journal of Symbolic Computation 1 Annals of Physics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Vestnik St. Petersburg University. Mathematics 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Bulletin des Sciences Mathématiques 1 The Ramanujan Journal 1 Abstract and Applied Analysis 1 Journal of the European Mathematical Society (JEMS) 1 Journal of Algebra and its Applications 1 Mediterranean Journal of Mathematics 1 Mathematics in Computer Science 1 Algebra & Number Theory 1 Science China. Mathematics 1 Forum of Mathematics, Pi 1 JSIAM Letters 1 Annales Mathématiques du Québec 1 Annals of $$K$$-Theory 1 Bollettino dell’Unione Matematica Italiana 1 Ural Mathematical Journal
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#### Cited in 26 Fields

 182 Algebraic geometry (14-XX) 158 Number theory (11-XX) 12 Several complex variables and analytic spaces (32-XX) 11 Commutative algebra (13-XX) 10 Topological groups, Lie groups (22-XX) 7 Field theory and polynomials (12-XX) 5 Category theory; homological algebra (18-XX) 4 $$K$$-theory (19-XX) 3 Group theory and generalizations (20-XX) 3 Computer science (68-XX) 2 Special functions (33-XX) 2 Manifolds and cell complexes (57-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Quantum theory (81-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Statistical mechanics, structure of matter (82-XX)

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