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Kato, Kazuya

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Author ID: kato.kazuya Recent zbMATH articles by "Kato, Kazuya"
Published as: Kato, Kazuya; Kato, K.; Katō, Kazuya
External Links: MGP · Wikidata · GND
Documents Indexed: 106 Publications since 1977, including 10 Books
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH Open

85 Publications have been cited 1,812 times in 1,132 Documents Cited by Year
\(L\)-functions and Tamagawa numbers of motives. Zbl 0768.14001
Bloch, Spencer; Kato, Kazuya
200
1990
Logarithmic structures of Fontaine-Illusie. Zbl 0776.14004
Kato, Kazuya
200
1989
\(p\)-adic Hodge theory and values of zeta functions of modular forms. Zbl 1142.11336
Kato, Kazuya
126
2004
\(p\)-adic étale cohomology. Zbl 0613.14017
Bloch, Spencer; Kato, Kazuya
98
1986
Toric singularities. Zbl 0832.14002
Kato, Kazuya
85
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
79
2005
A generalization of local class field theory by using \(K\)-groups. II. Zbl 0463.12006
Kato, Kazuya
71
1980
A Hasse principle for two dimensional global fields. Appendix by Jean-Louis Colliot-Thélène. Zbl 0576.12012
Kato, Kazuya
67
1986
Exposé V: Semi-stable reduction and crystalline cohomology with logarithmic poles. Zbl 0852.14004
Hyodo, Osamu; Kato, Kazuya
54
1994
Unramified class field theory of arithmetical surfaces. Zbl 0562.14011
Kato, Kazuya; Saito, Shuji
53
1983
A formulation of conjectures on \(p\)-adic zeta functions in noncommutative Iwasawa theory. Zbl 1238.11105
Fukaya, Takako; Kato, Kazuya
49
2006
A generalization of local class field theory by using K-groups. I. Zbl 0428.12013
Kato, Kazuya
45
1979
log Betti cohomology, log étale cohomology, and log de Rham cohomology of log schemes over \(\mathbb{C}\). Zbl 0957.14015
Kato, Kazuya; Nakayama, Chikara
43
1999
Symmetric bilinear forms, quadratic forms and Milnor K-theory in characteristic two. Zbl 0497.18017
Kato, Kazuya
35
1982
Classifying spaces of degenerating polarized Hodge structures. Zbl 1172.14002
Kato, Kazuya; Usui, Sampei
32
2009
On the conjectures of Birch and Swinnerton-Dyer in characteristic \(p>0\). Zbl 1046.11047
Kato, Kazuya; Trihan, Fabien
28
2003
On the conductor formula of Bloch. Zbl 1099.14009
Kato, Kazuya; Saito, Takeshi
24
2004
Galois cohomology of complete discrete valuation fields. Zbl 0506.12022
Kato, Kazuya
23
1982
Global class field theory of arithmetic schemes. Zbl 0614.14001
Kato, Kazuya; Saito, Shuji
21
1986
On p-adic vanishing cycles. (Application of ideas of Fontaine-Messing). Zbl 0645.14009
Kato, Kazuya
20
1987
Exposé VI: Semi-stable reduction and \(p\)-adic étale cohomology. Zbl 0847.14009
Kato, Kazuya
20
1994
Vanishing cycles, ramification of valuations, and class field theory. (With the collaboration of Takeshi Saito.). Zbl 0665.14005
Kato, Kazuya
19
1987
Root numbers, Selmer groups, and non-commutative Iwasawa theory. Zbl 1213.11135
Coates, John; Fukaya, Takako; Kato, Kazuya; Sujatha, Ramdorai
19
2010
Lectures on the approach to Iwasawa theory for Hasse-Weil \(L\)-functions via \(B_{dR}\). Zbl 0815.11051
Kato, Kazuya
18
1993
Class field theory, \({\mathcal D}\)-modules, and ramification on higher dimensional schemes. I. Zbl 0864.11057
Kato, Kazuya
18
1994
The explicit reciprocity law and the cohomology of Fontaine-Messing. Zbl 0752.14015
Kato, Kazuya
18
1991
Quasi-unipotent logarithmic Riemann-Hilbert correspondences. Zbl 1082.14024
Illusie, Luc; Kato, Kazuya; Nakayama, Chikara
18
2005
\(K_1\) of some non-commutative completed group rings. Zbl 1080.19002
Kato, Kazuya
18
2005
Ramification theory for varieties over a perfect field. Zbl 1172.14011
Kato, Kazuya; Saito, Takeshi
18
2008
Swan conductors for characters of degree one in the imperfect residue field case. Zbl 0716.12006
Kato, Kazuya
16
1989
SL(2)-orbit theorem for degeneration of mixed Hodge structure. Zbl 1144.14005
Kato, Kazuya; Nakayama, Chikara; Usui, Sampei
15
2008
Euler systems, Iwasawa theory, and Selmer groups. Zbl 0993.11033
Kato, Kazuya
13
1999
Existence theorem for higher local fields. Zbl 1008.11061
Kato, Kazuya
13
2000
Milnor K-theory and the Chow group of zero cycles. Zbl 0603.14009
Kato, Kazuya
11
1986
Iwasawa theory and \(p\)-adic Hodge theory. Zbl 0798.11050
Kato, Kazuya
10
1993
Borel-Serre spaces and spaces of SL(2)-orbits. Zbl 1071.14014
Kato, Kazuya; Usui, Sampei
9
2002
Duality theories for the \(p\)-primary etale cohomology. I. Zbl 0800.14009
Kato, Kazuya
8
1986
Logarithmic abelian varieties. I: Complex analytic theory. Zbl 1156.14038
Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara
8
2008
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
7
1983
The dimension of fields and algebraic \(K\)-theory. Zbl 0608.12029
Kato, Kazuya; Kuzumaki, Takako
7
1986
Syntomic cohomology and \(p\)-adic étale cohomology. Zbl 0792.14008
Kato, Kazuya; Messing, William
7
1992
A generalization of local class field theory by using K-groups. III. Zbl 0503.12004
Kato, Kazuya
7
1982
Log \(C^\infty\)-functions and degenerations of Hodge structures. Zbl 1047.14005
Kato, Kazuya; Matsubara, Toshiharu; Nakayama, Chikara
7
2002
Ramification theory for varieties over a local field. Zbl 1290.14011
Kato, Kazuya; Saito, Takeshi
7
2013
Classifying spaces of degenerating mixed Hodge structures. III: Spaces of nilpotent orbits. Zbl 1298.14017
Kato, Kazuya; Nakayama, Chikara; Usui, Sampei
7
2013
Logarithmic Hodge structures and classifying spaces. Zbl 0981.14006
Kato, Kazuya; Usui, Sampei
7
2000
Log intermediate Jacobians. Zbl 1200.14024
Kato, Kazuya; Nakayama, Chikara; Usui, Sampei
7
2010
Logarithmic abelian varieties. Zbl 1169.14031
Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara
7
2008
Artin characters for algebraic surfaces. Zbl 0673.14020
Kato, Kazuya; Saito, Shuji; Saito, Takeshi
6
1988
Logarithmic abelian varieties. IV: Proper models. Zbl 1329.14090
Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara
6
2015
Generalized class field theory. Zbl 0827.11073
Kato, Kazuya
6
1991
A generalization of local class field theory by using K-groups. II. Zbl 0411.12013
Kato, Kazuya
6
1978
Moduli of log mixed Hodge structures. Zbl 1209.14008
Kato, Kazuya; Nakayama, Chikara; Usui, Sampei
6
2010
Classifying spaces of degenerating mixed Hodge structures. II: Spaces of \(\text{SL}(2)\)-orbits. Zbl 1233.14007
Kato, Kazuya; Nakayama, Chikara; Usui, Sampei
6
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
6
2011
Generalized explicit reciprocity laws. Zbl 1024.11029
Kato, Kazuya
5
1999
Iwasawa theory and generalizations. Zbl 1183.11067
Kato, Kazuya
5
2007
Néron models in log mixed Hodge theory by weak fans. Zbl 1209.14009
Kato, Kazuya; Nakayama, Chikara; Usui, Sampei
5
2010
Two dimensional class field theory. Zbl 0544.12011
Kato, Kazuya; Saito, Shuji
4
1983
Swan conductors with differential values. Zbl 0658.12016
Kato, Kazuya
4
1987
Heights of motives. Zbl 1314.14048
Kato, Kazuya
4
2014
Universal norms of \(p\)-units in some non-commutative Galois extensions. Zbl 1125.11065
Kato, Kazuya
4
2007
A generalization of local class field theory by using K-groups. I. Zbl 0436.12011
Kato, Kazuya
3
1977
Number theory 1. Fermat’s dream. Transl. from the Japanese by Masato Kuwata. Zbl 0953.11003
Kato, Kazuya; Kurokawa, Nobushige; Saito, Takeshi
3
2000
Modulus of a rational map into a commutative algebraic group. Zbl 1206.14069
Kato, Kazuya; Russell, Henrik
3
2010
Albanese varieties with modulus and Hodge theory. Zbl 1261.14023
Kato, Kazuya; Russell, Henrik
3
2012
Classifying spaces of degenerating mixed Hodge structures. IV: The fundamental diagram. Zbl 1423.14073
Kato, Kazuya; Nakayama, Chikara; Usui, Sampei
3
2018
\(p\)-adic cohomology and arithmetic applications (II). (Cohomologies \(p\)-adiques et applications arithmétiques (II).) Zbl 0990.00020
Berthelot, Pierre (ed.); Fontaine, Jean-Marc (ed.); Illusie, Luc (ed.); Kato, Kazuya (ed.); Rapoport, Michael (ed.)
2
2002
Modular symbols in Iwasawa theory. Zbl 1359.11086
Fukaya, Takako; Kato, Kazuya; Sharifi, Romyar
2
2014
A generalization of class field theory. Zbl 0717.11050
Kato, Kazuya
2
1988
Analytic log Picard varieties. Zbl 1149.14038
Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara
2
2008
Analyticity of the closures of some Hodge theoretic subspaces. Zbl 1252.14010
Kato, Kazuya; Nakayama, Chikara; Usui, Sampei
2
2011
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.
2
2012
Height functions for motives. Zbl 1453.14079
Kato, Kazuya
2
2018
Duality theories for \(p\)-primary étale cohomology. II. Zbl 0651.14011
Kato, Kazuya
1
1987
Algebraic geometry 2000, Azumino. Proceedings of the symposium, Nagano, Japan, July 20–30, 2000. Zbl 1007.00031
Usui, Sampei (ed.); Green, Mark (ed.); Illusie, Luc (ed.); Kato, Kazuya (ed.); Looijenga, Eduard (ed.); Mukai, Shigeru (ed.); Saito, Shuji (ed.)
1
2002
Logarithmic abelian varieties. III: Logarithmic elliptic curves and modular curves. Zbl 1280.14008
Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara
1
2013
Extended period domains, algebraic groups, and higher Albanese manifolds. Zbl 1379.14006
Kato, Kazuya; Nakayama, Chikara; Usui, Sampei
1
2017
\(p\)-adic period domains and toroidal partial compactifications. I. Zbl 1238.14015
Kato, Kazuya
1
2011
Néron models for admissible normal functions. Zbl 1303.14022
Kato, Kazuya; Nakayama, Chikara; Usui, Sampei
1
2014
Duality theories for \(p\)-primary étale cohomology. III. Zbl 1441.14074
Kato, Kazuya; Suzuki, Takashi
1
2019
On log motives. Zbl 1444.14015
Ito, Tetsushi; Kato, Kazuya; Nakayama, Chikara; Usui, Sampei
1
2020
Logarithmic abelian varieties. VI: Local moduli and GAGF. Zbl 1455.14085
Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara
1
2019
Coincidence of two Swan conductors of abelian characters. Zbl 1458.11164
Kato, Kazuya; Saito, Takeshi
1
2019
On log motives. Zbl 1444.14015
Ito, Tetsushi; Kato, Kazuya; Nakayama, Chikara; Usui, Sampei
1
2020
Duality theories for \(p\)-primary étale cohomology. III. Zbl 1441.14074
Kato, Kazuya; Suzuki, Takashi
1
2019
Logarithmic abelian varieties. VI: Local moduli and GAGF. Zbl 1455.14085
Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara
1
2019
Coincidence of two Swan conductors of abelian characters. Zbl 1458.11164
Kato, Kazuya; Saito, Takeshi
1
2019
Classifying spaces of degenerating mixed Hodge structures. IV: The fundamental diagram. Zbl 1423.14073
Kato, Kazuya; Nakayama, Chikara; Usui, Sampei
3
2018
Height functions for motives. Zbl 1453.14079
Kato, Kazuya
2
2018
Extended period domains, algebraic groups, and higher Albanese manifolds. Zbl 1379.14006
Kato, Kazuya; Nakayama, Chikara; Usui, Sampei
1
2017
Logarithmic abelian varieties. IV: Proper models. Zbl 1329.14090
Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara
6
2015
Heights of motives. Zbl 1314.14048
Kato, Kazuya
4
2014
Modular symbols in Iwasawa theory. Zbl 1359.11086
Fukaya, Takako; Kato, Kazuya; Sharifi, Romyar
2
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
7
2013
Classifying spaces of degenerating mixed Hodge structures. III: Spaces of nilpotent orbits. Zbl 1298.14017
Kato, Kazuya; Nakayama, Chikara; Usui, Sampei
7
2013
Logarithmic abelian varieties. III: Logarithmic elliptic curves and modular curves. Zbl 1280.14008
Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara
1
2013
Albanese varieties with modulus and Hodge theory. Zbl 1261.14023
Kato, Kazuya; Russell, Henrik
3
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.
2
2012
Classifying spaces of degenerating mixed Hodge structures. II: Spaces of \(\text{SL}(2)\)-orbits. Zbl 1233.14007
Kato, Kazuya; Nakayama, Chikara; Usui, Sampei
6
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
6
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
19
2010
Log intermediate Jacobians. Zbl 1200.14024
Kato, Kazuya; Nakayama, Chikara; Usui, Sampei
7
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
Modulus of a rational map into a commutative algebraic group. Zbl 1206.14069
Kato, Kazuya; Russell, Henrik
3
2010
Classifying spaces of degenerating polarized Hodge structures. Zbl 1172.14002
Kato, Kazuya; Usui, Sampei
32
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
18
2008
SL(2)-orbit theorem for degeneration of mixed Hodge structure. Zbl 1144.14005
Kato, Kazuya; Nakayama, Chikara; Usui, Sampei
15
2008
Logarithmic abelian varieties. I: Complex analytic theory. Zbl 1156.14038
Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara
8
2008
Logarithmic abelian varieties. Zbl 1169.14031
Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara
7
2008
Analytic log Picard varieties. Zbl 1149.14038
Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara
2
2008
Iwasawa theory and generalizations. Zbl 1183.11067
Kato, Kazuya
5
2007
Universal norms of \(p\)-units in some non-commutative Galois extensions. Zbl 1125.11065
Kato, Kazuya
4
2007
A formulation of conjectures on \(p\)-adic zeta functions in noncommutative Iwasawa theory. Zbl 1238.11105
Fukaya, Takako; Kato, Kazuya
49
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
79
2005
Quasi-unipotent logarithmic Riemann-Hilbert correspondences. Zbl 1082.14024
Illusie, Luc; Kato, Kazuya; Nakayama, Chikara
18
2005
\(K_1\) of some non-commutative completed group rings. Zbl 1080.19002
Kato, Kazuya
18
2005
\(p\)-adic Hodge theory and values of zeta functions of modular forms. Zbl 1142.11336
Kato, Kazuya
126
2004
On the conductor formula of Bloch. Zbl 1099.14009
Kato, Kazuya; Saito, Takeshi
24
2004
On the conjectures of Birch and Swinnerton-Dyer in characteristic \(p>0\). Zbl 1046.11047
Kato, Kazuya; Trihan, Fabien
28
2003
Borel-Serre spaces and spaces of SL(2)-orbits. Zbl 1071.14014
Kato, Kazuya; Usui, Sampei
9
2002
Log \(C^\infty\)-functions and degenerations of Hodge structures. Zbl 1047.14005
Kato, Kazuya; Matsubara, Toshiharu; Nakayama, Chikara
7
2002
\(p\)-adic cohomology and arithmetic applications (II). (Cohomologies \(p\)-adiques et applications arithmétiques (II).) Zbl 0990.00020
Berthelot, Pierre; Fontaine, Jean-Marc; Illusie, Luc; Kato, Kazuya; Rapoport, Michael
2
2002
Algebraic geometry 2000, Azumino. Proceedings of the symposium, Nagano, Japan, July 20–30, 2000. Zbl 1007.00031
Usui, Sampei; Green, Mark; Illusie, Luc; Kato, Kazuya; Looijenga, Eduard; Mukai, Shigeru; Saito, Shuji
1
2002
Existence theorem for higher local fields. Zbl 1008.11061
Kato, Kazuya
13
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
3
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
43
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
Toric singularities. Zbl 0832.14002
Kato, Kazuya
85
1994
Exposé V: Semi-stable reduction and crystalline cohomology with logarithmic poles. Zbl 0852.14004
Hyodo, Osamu; Kato, Kazuya
54
1994
Exposé VI: Semi-stable reduction and \(p\)-adic étale cohomology. Zbl 0847.14009
Kato, Kazuya
20
1994
Class field theory, \({\mathcal D}\)-modules, and ramification on higher dimensional schemes. I. Zbl 0864.11057
Kato, Kazuya
18
1994
Lectures on the approach to Iwasawa theory for Hasse-Weil \(L\)-functions via \(B_{dR}\). Zbl 0815.11051
Kato, Kazuya
18
1993
Iwasawa theory and \(p\)-adic Hodge theory. Zbl 0798.11050
Kato, Kazuya
10
1993
Syntomic cohomology and \(p\)-adic étale cohomology. Zbl 0792.14008
Kato, Kazuya; Messing, William
7
1992
The explicit reciprocity law and the cohomology of Fontaine-Messing. Zbl 0752.14015
Kato, Kazuya
18
1991
Generalized class field theory. Zbl 0827.11073
Kato, Kazuya
6
1991
\(L\)-functions and Tamagawa numbers of motives. Zbl 0768.14001
Bloch, Spencer; Kato, Kazuya
200
1990
Logarithmic structures of Fontaine-Illusie. Zbl 0776.14004
Kato, Kazuya
200
1989
Swan conductors for characters of degree one in the imperfect residue field case. Zbl 0716.12006
Kato, Kazuya
16
1989
Artin characters for algebraic surfaces. Zbl 0673.14020
Kato, Kazuya; Saito, Shuji; Saito, Takeshi
6
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
20
1987
Vanishing cycles, ramification of valuations, and class field theory. (With the collaboration of Takeshi Saito.). Zbl 0665.14005
Kato, Kazuya
19
1987
Swan conductors with differential values. Zbl 0658.12016
Kato, Kazuya
4
1987
Duality theories for \(p\)-primary étale cohomology. II. Zbl 0651.14011
Kato, Kazuya
1
1987
\(p\)-adic étale cohomology. Zbl 0613.14017
Bloch, Spencer; Kato, Kazuya
98
1986
A Hasse principle for two dimensional global fields. Appendix by Jean-Louis Colliot-Thélène. Zbl 0576.12012
Kato, Kazuya
67
1986
Global class field theory of arithmetic schemes. Zbl 0614.14001
Kato, Kazuya; Saito, Shuji
21
1986
Milnor K-theory and the Chow group of zero cycles. Zbl 0603.14009
Kato, Kazuya
11
1986
Duality theories for the \(p\)-primary etale cohomology. I. Zbl 0800.14009
Kato, Kazuya
8
1986
The dimension of fields and algebraic \(K\)-theory. Zbl 0608.12029
Kato, Kazuya; Kuzumaki, Takako
7
1986
Unramified class field theory of arithmetical surfaces. Zbl 0562.14011
Kato, Kazuya; Saito, Shuji
53
1983
Residue homomorphisms in Milnor K-theory. Zbl 0586.12011
Kato, Kazuya
7
1983
Two dimensional class field theory. Zbl 0544.12011
Kato, Kazuya; Saito, Shuji
4
1983
Symmetric bilinear forms, quadratic forms and Milnor K-theory in characteristic two. Zbl 0497.18017
Kato, Kazuya
35
1982
Galois cohomology of complete discrete valuation fields. Zbl 0506.12022
Kato, Kazuya
23
1982
A generalization of local class field theory by using K-groups. III. Zbl 0503.12004
Kato, Kazuya
7
1982
A generalization of local class field theory by using \(K\)-groups. II. Zbl 0463.12006
Kato, Kazuya
71
1980
A generalization of local class field theory by using K-groups. I. Zbl 0428.12013
Kato, Kazuya
45
1979
A generalization of local class field theory by using K-groups. II. Zbl 0411.12013
Kato, Kazuya
6
1978
A generalization of local class field theory by using K-groups. I. Zbl 0436.12011
Kato, Kazuya
3
1977
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Cited by 846 Authors

41 Kato, Kazuya
20 Nakayama, Chikara
19 Lei, Antonio
15 Lim, Meng Fai
15 Usui, Sampei
13 Aravire, Roberto
12 Colliot-Thélène, Jean-Louis
12 Saito, Takeshi
11 Abramovich, Dan
11 Parimala, Raman
11 Trihan, Fabien
10 Burns, David John
10 Chen, Qile
10 Delbourgo, Daniel
10 Nizioł, Wiesława
10 Saito, Shuji
10 Ramdorai, Sujatha
10 Zerbes, Sarah Livia
9 Büyükboduk, Kâzim
9 Dummigan, Neil
9 Gros, Michel
9 Kim, Minhyong
9 Suresh, Venapally
8 Geisser, Thomas H.
8 Loeffler, David
8 Longo, Matteo
8 Sato, Kanetomo
8 Talpo, Mattia
8 Temkin, Michael
8 Ulirsch, Martin
8 Vostokov, Sergeĭ Vladimirovich
7 Dokchitser, Vladimir
7 Iovita, Adrian
7 Kings, Guido
7 Kurihara, Masato
7 Laghribi, Ahmed
7 Nicaise, Johannes
7 Ochiai, Tadashi
7 Osipov, Denis Vasil’evich
7 Pearlstein, Gregory J.
7 Venjakob, Otmar
6 Baeza, Ricardo
6 Bars Cortina, Francesc
6 Chapman, Adam
6 Colmez, Pierre
6 Dokchitser, Tim
6 Fukaya, Takako
6 Große-Klönne, Elmar
6 Hiranouchi, Toshiro
6 Kahn, Bruno
6 Kerz, Moritz C.
6 Klosin, Krzysztof
6 Mochizuki, Shinichi
6 Olsson, Martin C.
6 Rotger, Victor
6 Siebert, Bernd
6 Tsuji, Takeshi
6 Witte, Malte
6 Yamazaki, Takao
5 Andreatta, Fabrizio
5 Balakrishnan, Jennifer S.
5 Bräunling, Oliver
5 Brosnan, Patrick
5 Chinburg, Ted
5 Flach, Matthias
5 Huber-Klawitter, Annette
5 Jacob, Bill
5 Jannsen, Uwe
5 Longhi, Ignazio
5 Lorscheid, Oliver
5 Nguyen Quang Do, Thong
5 Pál, Ambrus
5 Pappas, Georgios
5 Rapinchuk, Igor A.
5 Schmidt, Alexander
5 Sharifi, Romyar T.
5 Suwa, Noriyuki
5 Taylor, Martin J.
5 Ulmer, Douglas L.
5 Vigni, Stefano
5 Wewers, Stefan
5 Wuthrich, Christian
5 Zhao, Yigeng
4 Abbes, Ahmed
4 Achinger, Piotr
4 Ahmed, Suman
4 Arason, Jón Kristinn
4 Ardakov, Konstantin
4 Benois, Denis
4 Berger, Tobias
4 Bloch, Spencer J.
4 Brunault, François
4 Castella, Francesc
4 Česnavičius, Kęstutis
4 Chiarellotto, Bruno
4 Darmon, Henri René
4 Deninger, Christopher
4 Esnault, Hélène
4 Fesenko, Ivan Borisovich
4 Gross, Mark
...and 746 more Authors
all top 5

Cited in 129 Serials

70 Journal of Number Theory
60 Inventiones Mathematicae
51 Compositio Mathematica
51 Duke Mathematical Journal
45 Journal of Algebra
43 Mathematische Annalen
38 Journal of Algebraic Geometry
37 Mathematische Zeitschrift
37 Transactions of the American Mathematical Society
28 Advances in Mathematics
25 Annales de l’Institut Fourier
25 Journal de Théorie des Nombres de Bordeaux
24 Proceedings of the American Mathematical Society
22 Manuscripta Mathematica
21 Annals of Mathematics. Second Series
20 Journal of Pure and Applied Algebra
18 Documenta Mathematica
17 International Journal of Number Theory
16 Journal für die Reine und Angewandte Mathematik
16 Rendiconti del Seminario Matematico della Università di Padova
16 Kyoto Journal of Mathematics
15 Nagoya Mathematical Journal
15 Proceedings of the Japan Academy. Series A
15 Tohoku Mathematical Journal. Second Series
14 Mathematical Proceedings of the Cambridge Philosophical Society
14 \(K\)-Theory
13 Publications Mathématiques
13 Journal of the American Mathematical Society
13 Comptes Rendus. Mathématique. Académie des Sciences, Paris
12 Journal of the Institute of Mathematics of Jussieu
12 Forum of Mathematics, Sigma
11 Communications in Algebra
11 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
11 Publications of the Research Institute for Mathematical Sciences, Kyoto University
10 Tokyo Journal of Mathematics
10 Annales Mathématiques du Québec
10 Research in the Mathematical Sciences
9 Israel Journal of Mathematics
8 Selecta Mathematica. New Series
8 Journal of the European Mathematical Society (JEMS)
7 The Ramanujan Journal
6 Mathematics of Computation
6 Geometry & Topology
6 Acta Mathematica Sinica. English Series
6 Algebra & Number Theory
6 Japanese Journal of Mathematics. 3rd Series
6 Research in Number Theory
5 Bulletin de la Société Mathématique de France
5 Journal of Soviet Mathematics
5 Kodai Mathematical Journal
5 Forum Mathematicum
4 Acta Arithmetica
4 Mathematische Nachrichten
4 Memoirs of the American Mathematical Society
4 Journal of the Ramanujan Mathematical Society
4 Journal of \(K\)-Theory
4 European Journal of Mathematics
4 Tunisian Journal of Mathematics
3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
3 Journal of the London Mathematical Society. Second Series
3 Journal of the Mathematical Society of Japan
3 International Journal of Mathematics
3 Bulletin of the American Mathematical Society. New Series
3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
3 Sbornik: Mathematics
3 Journal of Algebra and its Applications
2 Bulletin of the Australian Mathematical Society
2 Rocky Mountain Journal of Mathematics
2 Journal of Geometry and Physics
2 Archiv der Mathematik
2 Canadian Mathematical Bulletin
2 Functiones et Approximatio. Commentarii Mathematici
2 Glasgow Mathematical Journal
2 Monatshefte für Mathematik
2 Osaka Journal of Mathematics
2 Proceedings of the London Mathematical Society. Third Series
2 Mémoires de la Société Mathématique de France. Nouvelle Série
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Experimental Mathematics
2 Journal of Mathematical Sciences (New York)
2 St. Petersburg Mathematical Journal
2 The New York Journal of Mathematics
2 Journal of Singularities
2 Forum of Mathematics, Pi
2 Journal de l’École Polytechnique – Mathématiques
2 Proceedings of the American Mathematical Society. Series B
2 Bollettino dell’Unione Matematica Italiana
1 Modern Physics Letters A
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Mathematical Physics
1 Russian Mathematical Surveys
1 Ukrainian Mathematical Journal
1 Acta Mathematica
1 Bulletin of the London Mathematical Society
1 Functional Analysis and its Applications
1 Geometriae Dedicata
1 Journal of the Korean Mathematical Society
1 Revista Matemática Iberoamericana
1 Sugaku Expositions
1 IMRN. International Mathematics Research Notices
...and 29 more Serials

Citations by Year

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