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Equivariant Tamagawa number conjecture for Abelian varieties over global fields of positive characteristic
Proceedings of the American Mathematical Society ( IF 0.8 ) Pub Date : 2021-06-15 , DOI: 10.1090/proc/14417 Fabien Trihan , David Vauclair
Proceedings of the American Mathematical Society ( IF 0.8 ) Pub Date : 2021-06-15 , DOI: 10.1090/proc/14417 Fabien Trihan , David Vauclair
Abstract:We state and prove certain cases of the equivariant Tamagawa number conjecture of a semistable Abelian variety over an everywhere unramified finite Galois extension of a global field of characteristic $p>0$ under a semisimplicity hypothesis.
中文翻译:
全局正特征域上阿贝尔变体的等变多摩川数猜想
摘要:我们在半简单性假设下陈述并证明了在特征 $p>0$ 的全局域的处处非分支有限伽罗瓦扩展上的半稳定阿贝尔变体的等变多摩川数猜想的某些情况。
更新日期:2021-07-27
中文翻译:
全局正特征域上阿贝尔变体的等变多摩川数猜想
摘要:我们在半简单性假设下陈述并证明了在特征 $p>0$ 的全局域的处处非分支有限伽罗瓦扩展上的半稳定阿贝尔变体的等变多摩川数猜想的某些情况。