Invariants of moduli spaces of abelian surfaces

1999/02/11 by Joerg Zintl, J. Zintl, Zintl, J.
Mathematics · #11F46 (Secondary) #14C17 #14K10 (Primary) #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #math.AG #msc:11F46 #msc:14C17 #msc:14K10

paper · pdf · doi:10.48550/arxiv.math/9902070

26 pages

arxiv created 1999/02/11 · openalex publication_date 1999/02/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Compactifications of moduli spaces of (1,p)-polarized abelian surfaces with level structures of canonical type have been described in great detail by Hulek, Kahn and Weintraub. The aim of this paper is to determine some invariants of smooth models of these moduli spaces. In particular, a geometric description of their canonical divisors is given and their Chern numbers are computed.

Related

• Moduli of abelian surfaces with a (1,p²) polarisation
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• Calabi-Yau Three-folds and Moduli of Abelian Surfaces II