Explicit determination of root numbers of abelian varieties

DOI10.1090/tran/7116zbMath1441.11152OpenAlexW2559810938MaRDI QIDQ3130779

Kenneth Kramer, Armand Brumer, Maria Sabitova

Publication date: 29 January 2018

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/tran/7116

zbMATH Keywords

abelian varietyWeil-Deligne grouproot number

Mathematics Subject Classification ID

Galois theory (11S20) Abelian varieties of dimension (> 1) (11G10) Varieties over finite and local fields (11G25)

Related Items (3)

Root numbers of 5-adic curves of genus two having maximal ramification ⋮ Rank gain of Jacobians over number field extensions with prescribed Galois groups ⋮ Explicit root numbers of abelian varieties

Uses Software

• Magma

Cites Work

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• Regulator constants and the parity conjecture
• \(\varepsilon\)-factor of a tamely ramified sheaf on a variety
• The Magma algebra system. I: The user language
• Symplectic representations of semidirect products.
• Good reduction of abelian varieties
• The irreducibility of the space of curves of a given genus
• Spécialisation du foncteur de Picard
• The complete classification of fibres in pencils of curves of genus two
• Root numbers of abelian varieties
• Modèles entiers des courbes hyperelliptiques sur un corps de valuation discrète
• Néron Models
• Modèles minimaux des courbes de genre deux.
• On the prime-to-$p$ part of the groups of connected components of N\'eron models

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