Moduli of abelian surfaces with a (1,p²) polarisation

1994/04/21 by Valery Gritsenko, v. A. Gritsenko, Gritsenko, v. A. +2 · 1 citation
Computer Science · Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Coding theory and cryptography #FOS: Mathematics #alg-geom #math.AG

paper · pdf · doi:10.48550/arxiv.alg-geom/9404009

8 pages, plain TeX

arxiv created 1994/04/21 · openalex publication_date 1994/04/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the (compactified) moduli space of abelian surfaces with a polarisation of type (1,p²) is of general type for p ≥ 11, improving a result of O'Grady.

Cited by

• The Kodaira dimension of even-dimensional ball quotients

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• Moduli of Polarised Abelian Surfaces
• The moduli space of (1,11)-polarized abelian surfaces is unirational
• Abelian surfaces with odd bilevel structure
• The Kodaira dimension of certain moduli spaces of abelian surfaces
• Invariants of moduli spaces of abelian surfaces