On certain reduction problems concerning abelian surfaces

DOI10.1007/BF02677837zbMath0924.14023OpenAlexW1996296174MaRDI QIDQ1383232

Eyal Z. Goren

Publication date: 3 May 1998

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156322

zbMATH Keywords

abelian surfacegood reduction of curves

Mathematics Subject Classification ID

Complex multiplication and moduli of abelian varieties (11G15) Complex multiplication and abelian varieties (14K22)

Related Items (9)

Class invariants for quartic CM fields ⋮ On a generalization of Deuring's results ⋮ A Deuring criterion for abelian varieties ⋮ Bad reduction of genus curves with CM jacobian varieties ⋮ Constructing Picard curves with complex multiplication using the Chinese remainder theorem ⋮ A CM construction for curves of genus 2 with \(p\)-rank 1 ⋮ Generalization of Deuring reduction theorem ⋮ Computational algorithm for reduction type of CM abelian varieties ⋮ Computing Igusa class polynomials

Cites Work

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• The complete classification of fibres in pencils of curves of genus two
• Groupes de Picard et problèmes de Skolem. II
• Arithmetic over the rings of all algebraic integers.
• On supersingular curves and Abelian varieties.
• THE THEORY OF COMMUTATIVE FORMAL GROUPS OVER FIELDS OF FINITE CHARACTERISTIC

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