On Refined Conjectures of Birch and Swinnerton-Dyer type for Hasse–Weil–Artin ?-Series
On Refined Conjectures of Birch and Swinnerton-Dyer type for Hasse–Weil–Artin ?-Series
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关于 Hasse–Weil–Artin ? 系列的 Birch 和 Swinnerton-Dyer 型的精化猜想
DOI：
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发表时间：
2019
影响因子：
1.9
通讯作者：
Daniel Macias Castillo
中科院分区：
文献类型：
--
作者：
D. Burns;Daniel Macias Castillo
我们考虑了Birch和Swinnerton-Dyer类型对Hasse-Weil-Artin的精细推测
We consider refined conjectures of Birch and Swinnerton-Dyer type for the Hasse–Weil–Artin
L
L
-series of abelian varieties over general number fields. We shall, in particular, formulate several new such conjectures and establish their precise relation to previous conjectures, including to the relevant special case of the equivariant Tamagawa number conjecture. We also derive a wide range of concrete interpretations and explicit consequences of these conjectures that, in general, involve a thoroughgoing mixture of difficult Archimedean considerations related to refinements of the conjecture of Deligne and Gross and delicate
p
p
-adic congruence relations that involve the bi-extension height pairing of Mazur and Tate and are related to key aspects of noncommutative Iwasawa theory. In important special cases we provide strong evidence, both theoretical and numerical, in support of the conjectures.
椭圆曲线扭曲$L$值的积分
影响因子：
0.9
作者：
Wiersema H
通讯作者：
Wiersema H
兰金--爱森斯坦类和显式互易律
DOI：
10.48550/arxiv.1503.02888
发表时间：
2015
期刊：
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影响因子：
--
作者：
Kings G
通讯作者：
Kings G
影响因子：
3.1
作者：
Kakde M
通讯作者：
Kakde M