An explicit semi-factorial compactification of the Néron model

DOI10.1016/j.crma.2014.07.007zbMath1303.14041arXiv1507.08753OpenAlexW2022986324MaRDI QIDQ466175

Jesse Leo Kass

Publication date: 24 October 2014

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.08753

zbMATH Keywords

compactificationJacobianNéron modelarithmetic surface

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Abelian varieties of dimension (> 1) (11G10) Picard schemes, higher Jacobians (14K30) Jacobians, Prym varieties (14H40) Local ground fields in algebraic geometry (14G20) Divisors, linear systems, invertible sheaves (14C20)

Cites Work

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• Compactified Jacobians of Néron type
• Compactifying the Picard scheme
• Desingularization of two-dimensional schemes
• Very ampleness for Theta on the compactified Jacobian
• Semi-factorial models and Néron models
• Two ways to degenerate the Jacobian are the same
• The irreducibility of the space of curves of a given genus
• Critères de platitude et de projectivité. Techniques de platification d'un module. (Criterial of flatness and projectivity. Technics of flatification of a module.)
• Fine compactified Jacobians
• AUTODUALITY OF THE COMPACTIFIED JACOBIAN
• Compactifications of the Generalized Jacobian Variety
• Compactified Jacobians, Abel maps and Theta divisors
• Néron models and compactified Picard schemes over the moduli stack of stable curves
• On the existence of absolutely simple abelian varieties of a given dimension over an arbitrary field

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