2-descent for Bloch--Kato Selmer groups and rational points on hyperelliptic curves I

Autor:	Dogra, Netan
Rok vydání:	2023
Předmět:	Mathematics - Number Theory Mathematics - Algebraic Geometry
Druh dokumentu:	Working Paper
Popis:	This paper introduces explicit Galois cohomological methods for determining the ranks of Bloch--Kato Selmer groups associated to the Tate twists of the 2-adic second \'etale cohomology of the Jacobian of a hyperelliptic curve with a rational Weierstrass point. In particular, this can give a method to determine the rational points on such curves via the Chabauty--Coleman--Kim method. This is applied to answer a question of Bugeaud, Mignotte, Siksek, Stoll and Tengely. Comment: 42 pages, comments welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2312.04996 Zobrazit plný text záznamu View this record from Arxiv