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Author ID: kato.kazuya Recent zbMATH articles by "Kato, Kazuya"
Published as: Kato, Kazuya; Katō, Kazuya
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Publications by Year

Citations contained in zbMATH Open

96 Publications have been cited 2,414 times in 1,493 Documents Cited by Year
Logarithmic structures of Fontaine-Illusie. Zbl 0776.14004
Kato, Kazuya
258
1989
\(L\)-functions and Tamagawa numbers of motives. Zbl 0768.14001
Bloch, Spencer; Kato, Kazuya
252
1990
\(p\)-adic Hodge theory and values of zeta functions of modular forms. Zbl 1142.11336
Kato, Kazuya
210
2004
\(p\)-adic étale cohomology. Zbl 0613.14017
Bloch, Spencer; Kato, Kazuya
123
1986
Toric singularities. Zbl 0832.14002
Kato, Kazuya
103
1994
The \(\text{GL}_2\) main conjecture for elliptic curves without complex multiplication. Zbl 1108.11081
Coates, John; Fukaya, Takako; Kato, Kazuya; Sujatha, Ramdorai; Venjakob, Otmar
97
2005
A generalization of local class field theory by using \(K\)-groups. II. Zbl 0463.12006
Kato, Kazuya
89
1980
A Hasse principle for two dimensional global fields. Appendix by Jean-Louis Colliot-Thélène. Zbl 0576.12012
Kato, Kazuya
84
1986
A formulation of conjectures on \(p\)-adic zeta functions in noncommutative Iwasawa theory. Zbl 1238.11105
Fukaya, Takako; Kato, Kazuya
76
2006
Exposé V: Semi-stable reduction and crystalline cohomology with logarithmic poles. Zbl 0852.14004
Hyodo, Osamu; Kato, Kazuya
69
1994
Unramified class field theory of arithmetical surfaces. Zbl 0562.14011
Kato, Kazuya; Saito, Shuji
64
1983
log Betti cohomology, log étale cohomology, and log de Rham cohomology of log schemes over \(\mathbb{C}\). Zbl 0957.14015
Kato, Kazuya; Nakayama, Chikara
56
1999
A generalization of local class field theory by using K-groups. I. Zbl 0428.12013
Kato, Kazuya
48
1979
Symmetric bilinear forms, quadratic forms and Milnor K-theory in characteristic two. Zbl 0497.18017
Kato, Kazuya
43
1982
Global class field theory of arithmetic schemes. Zbl 0614.14001
Kato, Kazuya; Saito, Shuji
43
1986
Classifying spaces of degenerating polarized Hodge structures. Zbl 1172.14002
Kato, Kazuya; Usui, Sampei
41
2009
Galois cohomology of complete discrete valuation fields. Zbl 0506.12022
Kato, Kazuya
38
1982
On the conjectures of Birch and Swinnerton-Dyer in characteristic \(p>0\). Zbl 1046.11047
Kato, Kazuya; Trihan, Fabien
35
2003
On the conductor formula of Bloch. Zbl 1099.14009
Kato, Kazuya; Saito, Takeshi
34
2004
Lectures on the approach to Iwasawa theory for Hasse-Weil \(L\)-functions via \(B_{dR}\). Zbl 0815.11051
Kato, Kazuya
34
1993
On p-adic vanishing cycles. (Application of ideas of Fontaine-Messing). Zbl 0645.14009
Kato, Kazuya
31
1987
Swan conductors for characters of degree one in the imperfect residue field case. Zbl 0716.12006
Kato, Kazuya
31
1989
Root numbers, Selmer groups, and non-commutative Iwasawa theory. Zbl 1213.11135
Coates, John; Fukaya, Takako; Kato, Kazuya; Sujatha, Ramdorai
27
2010
Quasi-unipotent logarithmic Riemann-Hilbert correspondences. Zbl 1082.14024
Illusie, Luc; Kato, Kazuya; Nakayama, Chikara
27
2005
Exposé VI: Semi-stable reduction and \(p\)-adic étale cohomology. Zbl 0847.14009
Kato, Kazuya
26
1994
Vanishing cycles, ramification of valuations, and class field theory. (With the collaboration of Takeshi Saito.). Zbl 0665.14005
Kato, Kazuya
22
1987
\(K_1\) of some non-commutative completed group rings. Zbl 1080.19002
Kato, Kazuya
21
2005
The explicit reciprocity law and the cohomology of Fontaine-Messing. Zbl 0752.14015
Kato, Kazuya
20
1991
Class field theory, \({\mathcal D}\)-modules, and ramification on higher dimensional schemes. I. Zbl 0864.11057
Kato, Kazuya
20
1994
Milnor K-theory and the Chow group of zero cycles. Zbl 0603.14009
Kato, Kazuya
19
1986
Ramification theory for varieties over a perfect field. Zbl 1172.14011
Kato, Kazuya; Saito, Takeshi
19
2008
SL(2)-orbit theorem for degeneration of mixed Hodge structure. Zbl 1144.14005
Kato, Kazuya; Nakayama, Chikara; Usui, Sampei
17
2008
Existence theorem for higher local fields. Zbl 1008.11061
Kato, Kazuya
14
2000
Iwasawa theory and \(p\)-adic Hodge theory. Zbl 0798.11050
Kato, Kazuya
14
1993
Euler systems, Iwasawa theory, and Selmer groups. Zbl 0993.11033
Kato, Kazuya
13
1999
The dimension of fields and algebraic \(K\)-theory. Zbl 0608.12029
Kato, Kazuya; Kuzumaki, Takako
13
1986
Duality theories for the \(p\)-primary etale cohomology. I. Zbl 0800.14009
Kato, Kazuya
12
1986
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
11
2011
Logarithmic abelian varieties. I: Complex analytic theory. Zbl 1156.14038
Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara
11
2008
Logarithmic abelian varieties. Zbl 1169.14031
Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara
10
2008
A generalization of local class field theory by using K-groups. III. Zbl 0503.12004
Kato, Kazuya
10
1982
Borel-Serre spaces and spaces of SL(2)-orbits. Zbl 1071.14014
Kato, Kazuya; Usui, Sampei
10
2002
Ramification theory for varieties over a local field. Zbl 1290.14011
Kato, Kazuya; Saito, Takeshi
9
2013
Classifying spaces of degenerating mixed Hodge structures. II: Spaces of \(\text{SL}(2)\)-orbits. Zbl 1233.14007
Kato, Kazuya; Nakayama, Chikara; Usui, Sampei
8
2011
Classifying spaces of degenerating mixed Hodge structures. I: Borel-Serre spaces. Zbl 1179.14008
Kato, Kazuya; Nakayama, Chikara; Usui, Sampei
8
2009
Residue homomorphisms in Milnor K-theory. Zbl 0586.12011
Kato, Kazuya
8
1983
A generalization of local class field theory by using K-groups. II. Zbl 0411.12013
Kato, Kazuya
8
1978
Syntomic cohomology and \(p\)-adic étale cohomology. Zbl 0792.14008
Kato, Kazuya; Messing, William
8
1992
Log \(C^\infty\)-functions and degenerations of Hodge structures. Zbl 1047.14005
Kato, Kazuya; Matsubara, Toshiharu; Nakayama, Chikara
8
2002
Logarithmic abelian varieties. IV: Proper models. Zbl 1329.14090
Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara
8
2015
Classifying spaces of degenerating mixed Hodge structures. III: Spaces of nilpotent orbits. Zbl 1298.14017
Kato, Kazuya; Nakayama, Chikara; Usui, Sampei
8
2013
Artin characters for algebraic surfaces. Zbl 0673.14020
Kato, Kazuya; Saito, Shuji; Saito, Takeshi
7
1988
Universal norms of \(p\)-units in some non-commutative Galois extensions. Zbl 1125.11065
Kato, Kazuya
7
2007
Two dimensional class field theory. Zbl 0544.12011
Kato, Kazuya; Saito, Shuji
7
1983
Logarithmic Hodge structures and classifying spaces. Zbl 0981.14006
Kato, Kazuya; Usui, Sampei
7
2000
Generalized class field theory. Zbl 0827.11073
Kato, Kazuya
7
1991
Heights of motives. Zbl 1314.14048
Kato, Kazuya
7
2014
Log intermediate Jacobians. Zbl 1200.14024
Kato, Kazuya; Nakayama, Chikara; Usui, Sampei
7
2010
Swan conductors with differential values. Zbl 0658.12016
Kato, Kazuya
6
1987
Iwasawa theory and generalizations. Zbl 1183.11067
Kato, Kazuya
6
2007
Modulus of a rational map into a commutative algebraic group. Zbl 1206.14069
Kato, Kazuya; Russell, Henrik
6
2010
Moduli of log mixed Hodge structures. Zbl 1209.14008
Kato, Kazuya; Nakayama, Chikara; Usui, Sampei
6
2010
Albanese varieties with modulus and Hodge theory. Zbl 1261.14023
Kato, Kazuya; Russell, Henrik
5
2012
Number theory 1. Fermat’s dream. Transl. from the Japanese by Masato Kuwata. Zbl 0953.11003
Kato, Kazuya; Kurokawa, Nobushige; Saito, Takeshi
5
2000
Generalized explicit reciprocity laws. Zbl 1024.11029
Kato, Kazuya
5
1999
Néron models in log mixed Hodge theory by weak fans. Zbl 1209.14009
Kato, Kazuya; Nakayama, Chikara; Usui, Sampei
5
2010
Height functions for motives. Zbl 1453.14079
Kato, Kazuya
4
2018
Analytic log Picard varieties. Zbl 1149.14038
Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara
4
2008
Modular symbols in Iwasawa theory. Zbl 1359.11086
Fukaya, Takako; Kato, Kazuya; Sharifi, Romyar
4
2014
Classifying spaces of degenerating mixed Hodge structures. IV: The fundamental diagram. Zbl 1423.14073
Kato, Kazuya; Nakayama, Chikara; Usui, Sampei
4
2018
\(p\)-adic cohomology and arithmetic applications (II). (Cohomologies \(p\)-adiques et applications arithmétiques (II).) Zbl 0990.00020
3
2002
Generation of \(N\)-sided surface patches with holes. Zbl 0744.65013
Kato, K.
3
1991
A generalization of local class field theory by using K-groups. I. Zbl 0436.12011
Kato, Kazuya
3
1977
Numerical computation of two-loop box diagrams with masses. Zbl 1296.81117
Yuasa, F.; de Doncker, E.; Hamaguchi, N.; Ishikawa, T.; Kato, K.; Kurihara, Y.; Fujimoto, J.; Shimizu, Y.
3
2012
On log motives. Zbl 1444.14015
Ito, Tetsushi; Kato, Kazuya; Nakayama, Chikara; Usui, Sampei
3
2020
Coincidence of two Swan conductors of abelian characters. Zbl 1458.11164
Kato, Kazuya; Saito, Takeshi
3
2019
Logarithmic structures of Fontaine-Illusie. II: Logarithmic flat topology. Zbl 1525.14004
Kato, Kazuya
3
2021
Duality theories for \(p\)-primary étale cohomology. II. Zbl 0651.14011
Kato, Kazuya
2
1987
Analyticity of the closures of some Hodge theoretic subspaces. Zbl 1252.14010
Kato, Kazuya; Nakayama, Chikara; Usui, Sampei
2
2011
A generalization of class field theory. Zbl 0717.11050
Kato, Kazuya
2
1988
Duality theories for \(p\)-primary étale cohomology. III. Zbl 1441.14074
Kato, Kazuya; Suzuki, Takashi
2
2019
Logarithmic abelian varieties. VI: Local moduli and GAGF. Zbl 1455.14085
Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara
2
2019
Logarithmic abelian varieties. III: Logarithmic elliptic curves and modular curves. Zbl 1280.14008
Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara
2
2013
Class field theory and algebraic K-theory. Zbl 0544.12010
Kato, Kazuya
1
1983
On the complete basis of Pauli-allowed states of three-cluster systems in the Fock-Bargmann space. Zbl 0884.47050
Filippov, G. F.; Rybkin, I. Yu.; Korennov, S. V.; Katō, K.
1
1995
\(p\)-adic period domains and toroidal partial compactifications. I. Zbl 1238.14015
Kato, Kazuya
1
2011
Collected papers. Vol. I, II. Edited by Ichiro Satake, Genjiro Fujisaki, Kazuya Kato, Masato Kurihara and Shoichi Nakajima. Zbl 1021.01006
Iwasawa, Kenkichi
1
2001
Algebraic geometry 2000, Azumino. Proceedings of the symposium, Nagano, Japan, July 20–30, 2000. Zbl 1007.00031
1
2002
\(p\)-adic cohomology and arithmetic applications (III). (Cohomologies \(p\)-adiques et applications arithmétiques (III).) Zbl 1052.00008
1
2004
Extended period domains, algebraic groups, and higher Albanese manifolds. Zbl 1379.14006
Kato, Kazuya; Nakayama, Chikara; Usui, Sampei
1
2017
Tamagawa number conjecture for zeta values. Zbl 1146.11320
Kato, Kazuya
1
2002
Modular symbols and the integrality of zeta elements. Zbl 1417.11079
Fukaya, Takako; Kato, Kazuya; Sharifi, Romyar
1
2016
Néron models for admissible normal functions. Zbl 1303.14022
Kato, Kazuya; Nakayama, Chikara; Usui, Sampei
1
2014
Regularization with numerical extrapolation for finite and UV-divergent multi-loop integrals. Zbl 07694302
de Doncker, E.; Yuasa, F.; Kato, K.; Ishikawa, T.; Kapenga, J.; Olagbemi, O.
1
2018
Height functions for motives. II. Zbl 1474.14043
Kato, Kazuya
1
2020
Refined Swan conductors \(\mod{p}\) of one-dimensional Galois representations. Zbl 1442.14075
Kato, Kazuya; Leal, Isabel; Saito, Takeshi
1
2019
Logarithmic structures of Fontaine-Illusie. II: Logarithmic flat topology. Zbl 1525.14004
Kato, Kazuya
3
2021
On log motives. Zbl 1444.14015
Ito, Tetsushi; Kato, Kazuya; Nakayama, Chikara; Usui, Sampei
3
2020
Height functions for motives. II. Zbl 1474.14043
Kato, Kazuya
1
2020
Coincidence of two Swan conductors of abelian characters. Zbl 1458.11164
Kato, Kazuya; Saito, Takeshi
3
2019
Duality theories for \(p\)-primary étale cohomology. III. Zbl 1441.14074
Kato, Kazuya; Suzuki, Takashi
2
2019
Logarithmic abelian varieties. VI: Local moduli and GAGF. Zbl 1455.14085
Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara
2
2019
Refined Swan conductors \(\mod{p}\) of one-dimensional Galois representations. Zbl 1442.14075
Kato, Kazuya; Leal, Isabel; Saito, Takeshi
1
2019
Height functions for motives. Zbl 1453.14079
Kato, Kazuya
4
2018
Classifying spaces of degenerating mixed Hodge structures. IV: The fundamental diagram. Zbl 1423.14073
Kato, Kazuya; Nakayama, Chikara; Usui, Sampei
4
2018
Regularization with numerical extrapolation for finite and UV-divergent multi-loop integrals. Zbl 07694302
de Doncker, E.; Yuasa, F.; Kato, K.; Ishikawa, T.; Kapenga, J.; Olagbemi, O.
1
2018
Extended period domains, algebraic groups, and higher Albanese manifolds. Zbl 1379.14006
Kato, Kazuya; Nakayama, Chikara; Usui, Sampei
1
2017
Modular symbols and the integrality of zeta elements. Zbl 1417.11079
Fukaya, Takako; Kato, Kazuya; Sharifi, Romyar
1
2016
Logarithmic abelian varieties. IV: Proper models. Zbl 1329.14090
Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara
8
2015
Heights of motives. Zbl 1314.14048
Kato, Kazuya
7
2014
Modular symbols in Iwasawa theory. Zbl 1359.11086
Fukaya, Takako; Kato, Kazuya; Sharifi, Romyar
4
2014
Néron models for admissible normal functions. Zbl 1303.14022
Kato, Kazuya; Nakayama, Chikara; Usui, Sampei
1
2014
Ramification theory for varieties over a local field. Zbl 1290.14011
Kato, Kazuya; Saito, Takeshi
9
2013
Classifying spaces of degenerating mixed Hodge structures. III: Spaces of nilpotent orbits. Zbl 1298.14017
Kato, Kazuya; Nakayama, Chikara; Usui, Sampei
8
2013
Logarithmic abelian varieties. III: Logarithmic elliptic curves and modular curves. Zbl 1280.14008
Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara
2
2013
Albanese varieties with modulus and Hodge theory. Zbl 1261.14023
Kato, Kazuya; Russell, Henrik
5
2012
Numerical computation of two-loop box diagrams with masses. Zbl 1296.81117
Yuasa, F.; de Doncker, E.; Hamaguchi, N.; Ishikawa, T.; Kato, K.; Kurihara, Y.; Fujimoto, J.; Shimizu, Y.
3
2012
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
11
2011
Classifying spaces of degenerating mixed Hodge structures. II: Spaces of \(\text{SL}(2)\)-orbits. Zbl 1233.14007
Kato, Kazuya; Nakayama, Chikara; Usui, Sampei
8
2011
Analyticity of the closures of some Hodge theoretic subspaces. Zbl 1252.14010
Kato, Kazuya; Nakayama, Chikara; Usui, Sampei
2
2011
\(p\)-adic period domains and toroidal partial compactifications. I. Zbl 1238.14015
Kato, Kazuya
1
2011
Root numbers, Selmer groups, and non-commutative Iwasawa theory. Zbl 1213.11135
Coates, John; Fukaya, Takako; Kato, Kazuya; Sujatha, Ramdorai
27
2010
Log intermediate Jacobians. Zbl 1200.14024
Kato, Kazuya; Nakayama, Chikara; Usui, Sampei
7
2010
Modulus of a rational map into a commutative algebraic group. Zbl 1206.14069
Kato, Kazuya; Russell, Henrik
6
2010
Moduli of log mixed Hodge structures. Zbl 1209.14008
Kato, Kazuya; Nakayama, Chikara; Usui, Sampei
6
2010
Néron models in log mixed Hodge theory by weak fans. Zbl 1209.14009
Kato, Kazuya; Nakayama, Chikara; Usui, Sampei
5
2010
Classifying spaces of degenerating polarized Hodge structures. Zbl 1172.14002
Kato, Kazuya; Usui, Sampei
41
2009
Classifying spaces of degenerating mixed Hodge structures. I: Borel-Serre spaces. Zbl 1179.14008
Kato, Kazuya; Nakayama, Chikara; Usui, Sampei
8
2009
Ramification theory for varieties over a perfect field. Zbl 1172.14011
Kato, Kazuya; Saito, Takeshi
19
2008
SL(2)-orbit theorem for degeneration of mixed Hodge structure. Zbl 1144.14005
Kato, Kazuya; Nakayama, Chikara; Usui, Sampei
17
2008
Logarithmic abelian varieties. I: Complex analytic theory. Zbl 1156.14038
Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara
11
2008
Logarithmic abelian varieties. Zbl 1169.14031
Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara
10
2008
Analytic log Picard varieties. Zbl 1149.14038
Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara
4
2008
Universal norms of \(p\)-units in some non-commutative Galois extensions. Zbl 1125.11065
Kato, Kazuya
7
2007
Iwasawa theory and generalizations. Zbl 1183.11067
Kato, Kazuya
6
2007
A formulation of conjectures on \(p\)-adic zeta functions in noncommutative Iwasawa theory. Zbl 1238.11105
Fukaya, Takako; Kato, Kazuya
76
2006
The \(\text{GL}_2\) main conjecture for elliptic curves without complex multiplication. Zbl 1108.11081
Coates, John; Fukaya, Takako; Kato, Kazuya; Sujatha, Ramdorai; Venjakob, Otmar
97
2005
Quasi-unipotent logarithmic Riemann-Hilbert correspondences. Zbl 1082.14024
Illusie, Luc; Kato, Kazuya; Nakayama, Chikara
27
2005
\(K_1\) of some non-commutative completed group rings. Zbl 1080.19002
Kato, Kazuya
21
2005
\(p\)-adic Hodge theory and values of zeta functions of modular forms. Zbl 1142.11336
Kato, Kazuya
210
2004
On the conductor formula of Bloch. Zbl 1099.14009
Kato, Kazuya; Saito, Takeshi
34
2004
\(p\)-adic cohomology and arithmetic applications (III). (Cohomologies \(p\)-adiques et applications arithmétiques (III).) Zbl 1052.00008
1
2004
On the conjectures of Birch and Swinnerton-Dyer in characteristic \(p>0\). Zbl 1046.11047
Kato, Kazuya; Trihan, Fabien
35
2003
Borel-Serre spaces and spaces of SL(2)-orbits. Zbl 1071.14014
Kato, Kazuya; Usui, Sampei
10
2002
Log \(C^\infty\)-functions and degenerations of Hodge structures. Zbl 1047.14005
Kato, Kazuya; Matsubara, Toshiharu; Nakayama, Chikara
8
2002
\(p\)-adic cohomology and arithmetic applications (II). (Cohomologies \(p\)-adiques et applications arithmétiques (II).) Zbl 0990.00020
3
2002
Algebraic geometry 2000, Azumino. Proceedings of the symposium, Nagano, Japan, July 20–30, 2000. Zbl 1007.00031
1
2002
Tamagawa number conjecture for zeta values. Zbl 1146.11320
Kato, Kazuya
1
2002
Collected papers. Vol. I, II. Edited by Ichiro Satake, Genjiro Fujisaki, Kazuya Kato, Masato Kurihara and Shoichi Nakajima. Zbl 1021.01006
Iwasawa, Kenkichi
1
2001
Existence theorem for higher local fields. Zbl 1008.11061
Kato, Kazuya
14
2000
Logarithmic Hodge structures and classifying spaces. Zbl 0981.14006
Kato, Kazuya; Usui, Sampei
7
2000
Number theory 1. Fermat’s dream. Transl. from the Japanese by Masato Kuwata. Zbl 0953.11003
Kato, Kazuya; Kurokawa, Nobushige; Saito, Takeshi
5
2000
log Betti cohomology, log étale cohomology, and log de Rham cohomology of log schemes over \(\mathbb{C}\). Zbl 0957.14015
Kato, Kazuya; Nakayama, Chikara
56
1999
Euler systems, Iwasawa theory, and Selmer groups. Zbl 0993.11033
Kato, Kazuya
13
1999
Generalized explicit reciprocity laws. Zbl 1024.11029
Kato, Kazuya
5
1999
On the complete basis of Pauli-allowed states of three-cluster systems in the Fock-Bargmann space. Zbl 0884.47050
Filippov, G. F.; Rybkin, I. Yu.; Korennov, S. V.; Katō, K.
1
1995
Toric singularities. Zbl 0832.14002
Kato, Kazuya
103
1994
Exposé V: Semi-stable reduction and crystalline cohomology with logarithmic poles. Zbl 0852.14004
Hyodo, Osamu; Kato, Kazuya
69
1994
Exposé VI: Semi-stable reduction and \(p\)-adic étale cohomology. Zbl 0847.14009
Kato, Kazuya
26
1994
Class field theory, \({\mathcal D}\)-modules, and ramification on higher dimensional schemes. I. Zbl 0864.11057
Kato, Kazuya
20
1994
Lectures on the approach to Iwasawa theory for Hasse-Weil \(L\)-functions via \(B_{dR}\). Zbl 0815.11051
Kato, Kazuya
34
1993
Iwasawa theory and \(p\)-adic Hodge theory. Zbl 0798.11050
Kato, Kazuya
14
1993
Syntomic cohomology and \(p\)-adic étale cohomology. Zbl 0792.14008
Kato, Kazuya; Messing, William
8
1992
The explicit reciprocity law and the cohomology of Fontaine-Messing. Zbl 0752.14015
Kato, Kazuya
20
1991
Generalized class field theory. Zbl 0827.11073
Kato, Kazuya
7
1991
Generation of \(N\)-sided surface patches with holes. Zbl 0744.65013
Kato, K.
3
1991
\(L\)-functions and Tamagawa numbers of motives. Zbl 0768.14001
Bloch, Spencer; Kato, Kazuya
252
1990
Logarithmic structures of Fontaine-Illusie. Zbl 0776.14004
Kato, Kazuya
258
1989
Swan conductors for characters of degree one in the imperfect residue field case. Zbl 0716.12006
Kato, Kazuya
31
1989
Artin characters for algebraic surfaces. Zbl 0673.14020
Kato, Kazuya; Saito, Shuji; Saito, Takeshi
7
1988
A generalization of class field theory. Zbl 0717.11050
Kato, Kazuya
2
1988
On p-adic vanishing cycles. (Application of ideas of Fontaine-Messing). Zbl 0645.14009
Kato, Kazuya
31
1987
Vanishing cycles, ramification of valuations, and class field theory. (With the collaboration of Takeshi Saito.). Zbl 0665.14005
Kato, Kazuya
22
1987
Swan conductors with differential values. Zbl 0658.12016
Kato, Kazuya
6
1987
Duality theories for \(p\)-primary étale cohomology. II. Zbl 0651.14011
Kato, Kazuya
2
1987
\(p\)-adic étale cohomology. Zbl 0613.14017
Bloch, Spencer; Kato, Kazuya
123
1986
A Hasse principle for two dimensional global fields. Appendix by Jean-Louis Colliot-Thélène. Zbl 0576.12012
Kato, Kazuya
84
1986
Global class field theory of arithmetic schemes. Zbl 0614.14001
Kato, Kazuya; Saito, Shuji
43
1986
Milnor K-theory and the Chow group of zero cycles. Zbl 0603.14009
Kato, Kazuya
19
1986
The dimension of fields and algebraic \(K\)-theory. Zbl 0608.12029
Kato, Kazuya; Kuzumaki, Takako
13
1986
Duality theories for the \(p\)-primary etale cohomology. I. Zbl 0800.14009
Kato, Kazuya
12
1986
Unramified class field theory of arithmetical surfaces. Zbl 0562.14011
Kato, Kazuya; Saito, Shuji
64
1983
Residue homomorphisms in Milnor K-theory. Zbl 0586.12011
Kato, Kazuya
8
1983
Two dimensional class field theory. Zbl 0544.12011
Kato, Kazuya; Saito, Shuji
7
1983
Class field theory and algebraic K-theory. Zbl 0544.12010
Kato, Kazuya
1
1983
Symmetric bilinear forms, quadratic forms and Milnor K-theory in characteristic two. Zbl 0497.18017
Kato, Kazuya
43
1982
Galois cohomology of complete discrete valuation fields. Zbl 0506.12022
Kato, Kazuya
38
1982
A generalization of local class field theory by using K-groups. III. Zbl 0503.12004
Kato, Kazuya
10
1982
A generalization of local class field theory by using \(K\)-groups. II. Zbl 0463.12006
Kato, Kazuya
89
1980
A generalization of local class field theory by using K-groups. I. Zbl 0428.12013
Kato, Kazuya
48
1979
A generalization of local class field theory by using K-groups. II. Zbl 0411.12013
Kato, Kazuya
8
1978
A generalization of local class field theory by using K-groups. I. Zbl 0436.12011
Kato, Kazuya
3
1977
all top 5

Cited by 1,057 Authors

42 Kato, Kazuya
31 Lei, Antonio
26 Lim, Meng Fai
22 Nakayama, Chikara
20 Ramdorai, Sujatha
18 Saito, Shuji
16 Usui, Sampei
15 Colliot-Thélène, Jean-Louis
15 Saito, Takeshi
14 Aravire, Roberto
14 Büyükboduk, Kâzim
14 Loeffler, David
14 Parimala, Raman
14 Ray, Anwesh
13 Abramovich, Dan
13 Trihan, Fabien
13 Zerbes, Sarah Livia
12 Kundu, Debanjana
12 Nizioł, Wiesława
12 Suresh, Venapally
11 Burns, David John
11 Chen, Qile
11 Dummigan, Neil
11 Venjakob, Otmar
10 Delbourgo, Daniel
10 Dokchitser, Vladimir
10 Laghribi, Ahmed
9 Binda, Federico
9 Geisser, Thomas H.
9 Gros, Michel
9 Kim, Minhyong
9 Krishna, Amalendu
9 Kurihara, Masato
9 Rülling, Kay
9 Skinner, Christopher M.
9 Talpo, Mattia
9 Temkin, Michael
8 Achinger, Piotr
8 Castella, Francesc
8 Chapman, Adam
8 Iovita, Adrian
8 Kahn, Bruno
8 Kerz, Moritz C.
8 Kings, Guido
8 Longo, Matteo
8 Osipov, Denis Vasil’evich
8 Pál, Ambrus
8 Pearlstein, Gregory J.
8 Sato, Kanetomo
8 Sharifi, Romyar T.
8 Ulirsch, Martin
8 Vostokov, Sergeĭ Vladimirovich
8 Yamazaki, Takao
7 Benois, Denis
7 Burungale, Ashay A.
7 Chinburg, Ted
7 Colmez, Pierre
7 Dokchitser, Tim
7 Hiranouchi, Toshiro
7 Lorscheid, Oliver
7 Mochizuki, Shinichi
7 Nicaise, Johannes
7 Ochiai, Tadashi
7 Olsson, Martin C.
7 Rapinchuk, Igor A.
7 Rotger, Victor
7 Taylor, Martin J.
6 Baeza, Ricardo
6 Balakrishnan, Jennifer S.
6 Bars Cortina, Francesc
6 Brunault, François
6 Chiarellotto, Bruno
6 Fukaya, Takako
6 Große-Klönne, Elmar
6 Huber-Klawitter, Annette
6 Illusie, Luc
6 Izquierdo, Diego
6 Kakde, Mahesh
6 Klosin, Krzysztof
6 Longhi, Ignazio
6 Molcho, Samouil
6 Nickel, Andreas
6 Pappas, Georgios
6 Ray, Jishnu
6 Ruddat, Helge P.
6 Siebert, Bernd
6 Tsuji, Takeshi
6 Ulmer, Douglas L.
6 Wise, Jonathan
6 Witte, Malte
5 Andreatta, Fabrizio
5 Berger, Tobias
5 Bloch, Spencer J.
5 Bräunling, Oliver
5 Brosnan, Patrick
5 Darmon, Henri René
5 Fesenko, Ivan Borisovich
5 Flach, Matthias
5 Jacob, Bill
5 Jannsen, Uwe
...and 957 more Authors
all top 5

Cited in 159 Serials

81 Journal of Number Theory
67 Inventiones Mathematicae
64 Compositio Mathematica
53 Duke Mathematical Journal
50 Journal of Algebra
49 Mathematische Annalen
45 Transactions of the American Mathematical Society
43 Mathematische Zeitschrift
43 Journal of Algebraic Geometry
41 Advances in Mathematics
34 Journal de Théorie des Nombres de Bordeaux
31 Manuscripta Mathematica
30 Annales de l’Institut Fourier
28 Journal of Pure and Applied Algebra
25 Documenta Mathematica
24 Proceedings of the American Mathematical Society
23 Journal für die Reine und Angewandte Mathematik
22 Annals of Mathematics. Second Series
22 Journal of the Institute of Mathematics of Jussieu
22 Algebra & Number Theory
21 International Journal of Number Theory
20 Forum of Mathematics, Sigma
19 Kyoto Journal of Mathematics
18 Mathematical Proceedings of the Cambridge Philosophical Society
18 Rendiconti del Seminario Matematico della Università di Padova
17 Nagoya Mathematical Journal
16 Proceedings of the Japan Academy. Series A
16 Tôhoku Mathematical Journal. Second Series
16 Annales Mathématiques du Québec
15 Journal of the American Mathematical Society
15 Journal of the European Mathematical Society (JEMS)
14 Tokyo Journal of Mathematics
14 \(K\)-Theory
14 Research in the Mathematical Sciences
13 Publications Mathématiques
13 Publications of the Research Institute for Mathematical Sciences, Kyoto University
13 Comptes Rendus. Mathématique. Académie des Sciences, Paris
12 Israel Journal of Mathematics
12 Selecta Mathematica. New Series
12 The Ramanujan Journal
11 Communications in Algebra
11 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
11 Research in Number Theory
10 Acta Arithmetica
10 Geometry & Topology
9 Journal of the London Mathematical Society. Second Series
8 Bulletin de la Société Mathématique de France
7 Kodai Mathematical Journal
7 Forum Mathematicum
7 Tunisian Journal of Mathematics
6 Mathematics of Computation
6 Canadian Mathematical Bulletin
6 Memoirs of the American Mathematical Society
6 Acta Mathematica Sinica. English Series
6 Japanese Journal of Mathematics. 3rd Series
6 European Journal of Mathematics
5 Bulletin of the London Mathematical Society
5 Journal of Soviet Mathematics
5 Mathematische Nachrichten
5 Osaka Journal of Mathematics
5 Oberwolfach Reports
5 Forum of Mathematics, Pi
4 Bulletin of the Australian Mathematical Society
4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
4 American Journal of Mathematics
4 Glasgow Mathematical Journal
4 Proceedings of the London Mathematical Society. Third Series
4 Journal of the Ramanujan Mathematical Society
4 International Journal of Mathematics
4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
4 St. Petersburg Mathematical Journal
4 The New York Journal of Mathematics
4 Sbornik: Mathematics
4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
4 Journal of \(K\)-Theory
4 Transactions of the American Mathematical Society. Series B
3 Canadian Journal of Mathematics
3 Journal of the Mathematical Society of Japan
3 Bulletin of the American Mathematical Society. New Series
3 Experimental Mathematics
3 Journal of Algebra and its Applications
3 Proceedings of the Steklov Institute of Mathematics
3 Journal de l’École Polytechnique – Mathématiques
2 Rocky Mountain Journal of Mathematics
2 Journal of Geometry and Physics
2 Archiv der Mathematik
2 Functiones et Approximatio. Commentarii Mathematici
2 Monatshefte für Mathematik
2 Pacific Journal of Mathematics
2 Revista Matemática Iberoamericana
2 IMRN. International Mathematics Research Notices
2 Mémoires de la Société Mathématique de France. Nouvelle Série
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Journal of Mathematical Sciences (New York)
2 Bulletin des Sciences Mathématiques
2 Journal of High Energy Physics
2 La Gaceta de la Real Sociedad Matemática Española
2 Journal of the Australian Mathematical Society
2 Science China. Mathematics
2 Journal of Singularities
...and 59 more Serials

Citations by Year

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