2‐Selmer parity for hyperelliptic curves in quadratic extensions (Q6139776)

scientific article; zbMATH DE number 7780649

Language	Label	Description	Also known as
English	2‐Selmer parity for hyperelliptic curves in quadratic extensions	scientific article; zbMATH DE number 7780649

Statements

instance of

scholarly article

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title

2‐Selmer parity for hyperelliptic curves in quadratic extensions (English)

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published in

Proceedings of the London Mathematical Society

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publication date

19 December 2023

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full work available at URL

https://arxiv.org/abs/1504.01960

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zbMATH Keywords

2-parity conjecture

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hyperelliptic curves

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MaRDI profile type

MaRDI publication profile

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cites work

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A user's guide to the local arithmetic of hyperelliptic curves

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Variation of Tamagawa numbers of Jacobians of hyperelliptic curves with semistable reduction

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Rational points of the group of components of a Néron model

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The \(p\)-parity conjecture for elliptic curves with a \(p\)-isogeny

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The ℓ-parity conjecture over the constant quadratic extension

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The remaining cases of the Kramer–Tunnell conjecture

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Root numbers, Selmer groups, and non-commutative Iwasawa theory

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Two-torsion of the Jacobian of hyperelliptic curves over finite fields

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Curves in characteristic \(2\) with non-trivial \(2\)-torsion

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Regulator constants and the parity conjecture

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On the Birch-Swinnerton-Dyer quotients modulo squares

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Root numbers and parity of ranks of elliptic curves

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Arithmetic of hyperelliptic curves over local fields

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There are no abelian varieties over \(\mathbb Z\).

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Modeles de neron et monodromie

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Disparity in Selmer ranks of quadratic twists of elliptic curves

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Arithmetic of Elliptic Curves Upon Quadratic Extension

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Duality theorems for curves over p-adic fields

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Modèles minimaux des courbes de genre deux.

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Modèles entiers des courbes hyperelliptiques sur un corps de valuation discrète

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Torsion and Tamagawa numbers

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The norm map for ordinary Abelian varieties

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Finding large Selmer rank via an arithmetic theory of local constants

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Quadratic twists of abelian varieties and disparity in Selmer ranks

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Some consequences of a formula of Mazur and Rubin for arithmetic local constants

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The Cassels-Tate pairing on polarized Abelian varieties

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The Schur index in the theory of group representation

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Identifiers

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6139776