On the conjectures of Birch and Swinnerton-Dyer in characteristic p>0

By Kazuya Kato, Fabien Trihan. 2003

106 citations recorded by the source corpus.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/ed6403b35937f95013c6bd3ed89a6a53e44d6511

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In Geometry and Topology

1. Dino J. Lorenzini
2. M. Raynaud
3. Qing Liu
4. Michael Stoll
5. Matthew Baker
6. Samir Siksek
7. Joseph Rabinoff
8. Ofer Gabber

In Mathematical Physics

1. Dino J. Lorenzini
2. Qing Liu

Citations in the corpus

• On the Brauer group of a surface (2005, background): “Kato and Trihan established in 2003 in [6], main theorem, that if the -part of the Shafarevich-Tate group X(A) is finite for some prime , then the Birch and Swinnerton-Dyer conjecture holds for AK/K .”