On adjoint Bloch-Kato Selmer groups for GSp2g

被引：0

作者：

Wu, Ju-Feng ^{[1
]}

机构：

[1] Univ Warwick, Math Inst, Coventry CV4 7AL, W Midlands, England

来源：

ANNALES MATHEMATIQUES DU QUEBEC | 2024年 / 48卷 / 01期

关键词：

Eigenvarieties; Galois representations; Adjoint Selmer groups; Bloch-Kato conjecture; POTENTIAL AUTOMORPHY; MODULAR-FORMS; REPRESENTATIONS; CONJECTURE; MOTIVES; LEVEL;

D O I：

10.1007/s40316-022-00209-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the adjoint Bloch-Kato Selmer groups attached to a classical point in the cuspidal eigenvariety associated with GSp(2g). Our strategy is based on the study of families of Galois representations on the eigenvariety, which is inspired by the book of J. Bellaiche and G. Chenevier.

引用

页码：187 / 220

页数：34

共 17 条

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Thorne, Jack A.
PURE AND APPLIED MATHEMATICS QUARTERLY, 2022, 18 (05) : 2159 - 2202
[2] On Bloch-Kato Selmer groups and Iwasawa theory of p-adic Galois representations
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NEW YORK JOURNAL OF MATHEMATICS, 2021, 27 : 437 - 467
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MATHEMATICAL RESEARCH LETTERS, 2001, 8 (04) : 437 - 442
[6] On adjoint Bloch–Kato Selmer groups for GSp2g\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\textrm{GSp}_{2g}$$\end{document}
Ju-Feng Wu
Annales mathématiques du Québec, 2024, 48 (1) : 187 - 220
[7] Bloch-Kato pro-p groups and locally powerful groups
Quadrelli, Claudio
FORUM MATHEMATICUM, 2014, 26 (03) : 793 - 814
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Dummigan, Neil
ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 2020, 90 (02): : 215 - 227
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Pilloni, Vincent
BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 2012, 140 (03): : 335 - 400
[10] 2-DESCENT FOR BLOCH–KATO SELMER GROUPS AND RATIONAL POINTS ON HYPERELLIPTIC CURVES I
Dogra, Netan
arXiv, 2023,

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