Arithmetic local constants for abelian varieties with extra endomorphisms

DOI10.7169/FACM/2016.55.1.5zbMath1407.11077arXiv2102.03421OpenAlexW2517945932MaRDI QIDQ1745212

Sunil Chetty

Publication date: 20 April 2018

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.03421

zbMATH Keywords

abelian varietyelliptic curvecomplex multiplicationSelmer rank

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Abelian varieties of dimension (> 1) (11G10) Complex multiplication and moduli of abelian varieties (11G15) Elliptic curves over local fields (11G07)

Related Items (1)

Computing local constants for CM elliptic curves

Cites Work

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• The arithmetic theory of local constants for abelian varieties
• Computing local constants for CM elliptic curves
• The norm map for ordinary Abelian varieties
• Comparing local constants of ordinary elliptic curves in dihedral extensions
• Twisting commutative algebraic groups
• Finding large Selmer rank via an arithmetic theory of local constants
• A generalisation of the Cassel-Tate pairing.
• Euler Systems
• Diophantine Equations with Special Reference To Elliptic Curves

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