Grothendieck's pairing for Jacobians and base change

DOI10.1016/j.jnt.2007.12.013zbMath1198.14042OpenAlexW1969065488MaRDI QIDQ927699

Dino J. Lorenzini

Publication date: 9 June 2008

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2007.12.013

zbMATH Keywords

dualitycomponent groupsGrothendieck pairing

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Abelian varieties of dimension (> 1) (11G10) Curves over finite and local fields (11G20) Arithmetic ground fields for abelian varieties (14K15)

Related Items (1)

Néron models

Cites Work

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• Duality theorems for Néron models
• Component groups of abelian varieties and Grothendieck's duality conjecture
• Grothendieck's pairing on component groups of Jacobians.
• Spécialisation du foncteur de Picard
• The complete classification of fibres in pencils of curves of genus two
• On perfectness of Grothendieck's pairing for the l-parts of component groups
• Dualité sur un corps local à corps résiduel algébriquement clos
• Néron Models
• Reduction of points in the group of components of the Néron model of a jacobian
• Modeles de neron et monodromie
• On the arithmetic of abelian varieties

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