# zbMATH — the first resource for mathematics

## Yamazaki, Takao

Compute Distance To:
 Author ID: yamazaki.takao Published as: Yamazaki, Takao Homepage: http://www.math.tohoku.ac.jp/~ytakao/index_en.html External Links: MGP · dblp
 Documents Indexed: 32 Publications since 1998, including 1 Book Reviewing Activity: 21 Reviews
all top 5

#### Co-Authors

 13 single-authored 5 Kahn, Bruno 4 Inoue, Rei 3 Rülling, Kay 3 Saito, Shuji 2 Miyazaki, Hiroyasu 2 Vanhaecke, Pol 2 Yang, Yifan 1 Ichikawa, Takashi 1 Ivorra, Florian 1 Kida, Masanari 1 Kobayashi, Shinichi 1 Konishi, Yukiko 1 Miyasaka, Yuken 1 Spieß, Michael 1 Wei, Fu-Tsun
all top 5

#### Serials

 3 Duke Mathematical Journal 3 RIMS Kôkyûroku Bessatsu 2 Journal of Geometry and Physics 2 Compositio Mathematica 2 Journal of $$K$$-Theory 2 Épijournal de Géométrie Algébrique. EPIGA 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 Canadian Journal of Mathematics 1 Journal of Algebra 1 Journal of the London Mathematical Society. Second Series 1 Journal of Number Theory 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Nagoya Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Tokyo Journal of Mathematics 1 $$K$$-Theory 1 Forum Mathematicum 1 International Journal of Mathematics 1 Documenta Mathematica 1 Acta Mathematica et Informatica Universitatis Ostraviensis 1 The Asian Journal of Mathematics
all top 5

#### Fields

 27 Algebraic geometry (14-XX) 17 Number theory (11-XX) 14 $$K$$-theory (19-XX) 5 Dynamical systems and ergodic theory (37-XX) 3 Associative rings and algebras (16-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Category theory; homological algebra (18-XX) 1 Differential geometry (53-XX)

#### Citations contained in zbMATH Open

18 Publications have been cited 52 times in 37 Documents Cited by Year
Reciprocity sheaves. Zbl 1419.19001
Kahn, Bruno; Saito, Shuji; Yamazaki, Takao; Rülling, Kay
2016
Voevodsky’s motives and Weil reciprocity. Zbl 1309.19009
Kahn, Bruno; Yamazaki, Takao
2013
On Chow and Brauer groups of a product of Mumford curves. Zbl 1087.14006
Yamazaki, Takao
2005
A counterexample to generalizations of the Milnor-Bloch-Kato conjecture. Zbl 1186.19004
Spiess, Michael; Yamazaki, Takao
2009
Class field theory for a product of curves over a local field. Zbl 1238.11071
Yamazaki, Takao
2009
Rational torsion on the generalized Jacobian of a modular curve with cuspidal modulus. Zbl 1357.14043
Yamazaki, Takao; Yang, Yifan
2016
The Brauer-Manin pairing, class field theory, and motivic homology. Zbl 1325.11125
Yamazaki, Takao
2013
Milnor $$K$$-group attached to a torus and Birch-Tate conjecture. Zbl 1181.11074
Yamazaki, Takao
2009
Jacobian variety and integrable system – after Mumford, Beauville and Vanhaecke. Zbl 1131.14041
Inoue, Rei; Konishi, Yukiko; Yamazaki, Takao
2007
Cohomological study on variants of the Mumford system, and integrability of the Noumi-Yamada system. Zbl 1170.37332
Inoue, Rei; Yamazaki, Takao
2006
On Swan conductors for Brauer groups of curves over local fields. Zbl 0921.14008
Yamazaki, Takao
1999
Reduced norm map of division algebras over complete discrete valuation fields of certain type. Zbl 0990.11072
Yamazaki, Takao
1998
Suslin homology of relative curves with modulus. Zbl 1348.14063
Rülling, Kay; Yamazaki, Takao
2016
$$K$$-groups of reciprocity functors for $$\mathbb{G}_a$$ and abelian varieties. Zbl 1326.19002
Rülling, Kay; Yamazaki, Takao
2014
Singular fiber of the Mumford system and rational solutions to the KdV hierarchy. Zbl 1197.14037
Inoue, Rei; Yamazaki, Takao; Vanhaecke, Pol
2010
Torsion zero-cycles on a product of canonical lifts of elliptic curves. Zbl 1080.14052
Yamazaki, Takao
2004
On Tate duality for Jacobian varieties. Zbl 1049.11129
Yamazaki, Takao
2003
Formal Chow groups, $$p$$-divisible groups and syntomic cohomology. Zbl 1114.14017
Yamazaki, Takao
2000
Reciprocity sheaves. Zbl 1419.19001
Kahn, Bruno; Saito, Shuji; Yamazaki, Takao; Rülling, Kay
2016
Rational torsion on the generalized Jacobian of a modular curve with cuspidal modulus. Zbl 1357.14043
Yamazaki, Takao; Yang, Yifan
2016
Suslin homology of relative curves with modulus. Zbl 1348.14063
Rülling, Kay; Yamazaki, Takao
2016
$$K$$-groups of reciprocity functors for $$\mathbb{G}_a$$ and abelian varieties. Zbl 1326.19002
Rülling, Kay; Yamazaki, Takao
2014
Voevodsky’s motives and Weil reciprocity. Zbl 1309.19009
Kahn, Bruno; Yamazaki, Takao
2013
The Brauer-Manin pairing, class field theory, and motivic homology. Zbl 1325.11125
Yamazaki, Takao
2013
Singular fiber of the Mumford system and rational solutions to the KdV hierarchy. Zbl 1197.14037
Inoue, Rei; Yamazaki, Takao; Vanhaecke, Pol
2010
A counterexample to generalizations of the Milnor-Bloch-Kato conjecture. Zbl 1186.19004
Spiess, Michael; Yamazaki, Takao
2009
Class field theory for a product of curves over a local field. Zbl 1238.11071
Yamazaki, Takao
2009
Milnor $$K$$-group attached to a torus and Birch-Tate conjecture. Zbl 1181.11074
Yamazaki, Takao
2009
Jacobian variety and integrable system – after Mumford, Beauville and Vanhaecke. Zbl 1131.14041
Inoue, Rei; Konishi, Yukiko; Yamazaki, Takao
2007
Cohomological study on variants of the Mumford system, and integrability of the Noumi-Yamada system. Zbl 1170.37332
Inoue, Rei; Yamazaki, Takao
2006
On Chow and Brauer groups of a product of Mumford curves. Zbl 1087.14006
Yamazaki, Takao
2005
Torsion zero-cycles on a product of canonical lifts of elliptic curves. Zbl 1080.14052
Yamazaki, Takao
2004
On Tate duality for Jacobian varieties. Zbl 1049.11129
Yamazaki, Takao
2003
Formal Chow groups, $$p$$-divisible groups and syntomic cohomology. Zbl 1114.14017
Yamazaki, Takao
2000
On Swan conductors for Brauer groups of curves over local fields. Zbl 0921.14008
Yamazaki, Takao
1999
Reduced norm map of division algebras over complete discrete valuation fields of certain type. Zbl 0990.11072
Yamazaki, Takao
1998
all top 5

#### Cited by 30 Authors

 12 Yamazaki, Takao 5 Binda, Federico 3 Gazaki, Evangelia 3 Hiranouchi, Toshiro 3 Kahn, Bruno 3 Rülling, Kay 2 Saito, Shuji 1 Bondarko, Mikhail Vladimirovich 1 Cao, Junkuo 1 Déglise, Frédéric 1 Huber-Klawitter, Annette 1 Inoue, Rei 1 Ivorra, Florian 1 Kai, Wang 1 Kebekus, Stefan 1 Kelly, Shane 1 Konishi, Yukiko 1 Lecouturier, Emmanuel 1 Miyazaki, Hiroyasu 1 Novak, Tina 1 Park, Jinhyun 1 Sawin, William F. 1 Sugiyama, Ryutaro 1 Ramdorai, Sujatha 1 Tsyganov, Andreĭ Vladimirovich 1 Ünver, Sinan 1 Uzun, Mecit Kerem 1 Wang, Liuquan 1 Wei, Fu-Tsun 1 Yang, Yifan
all top 5

#### Cited in 27 Serials

 4 Journal of Algebra 3 Journal of Number Theory 2 Journal of Geometry and Physics 2 Advances in Mathematics 2 Mathematische Zeitschrift 2 Journal of Algebraic Geometry 2 Documenta Mathematica 1 Acta Arithmetica 1 Bulletin de la Société Mathématique de France 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Functiones et Approximatio. Commentarii Mathematici 1 Inventiones Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Journal of Pure and Applied Algebra 1 Mathematische Annalen 1 Nagoya Mathematical Journal 1 Transactions of the American Mathematical Society 1 Forum Mathematicum 1 International Journal of Mathematics 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal de Théorie des Nombres de Bordeaux 1 Selecta Mathematica. New Series 1 Acta Mathematica et Informatica Universitatis Ostraviensis 1 Journal of Nonlinear Mathematical Physics 1 Journal of the Institute of Mathematics of Jussieu 1 Journal of $$K$$-Theory
all top 5

#### Cited in 6 Fields

 33 Algebraic geometry (14-XX) 17 Number theory (11-XX) 15 $$K$$-theory (19-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Mechanics of particles and systems (70-XX) 1 Associative rings and algebras (16-XX)