A compactification of \mathcal M₃ via K3 surfaces

2005/11/01 by Michela Artebani, Artebani, Michela
Mathematics · #14H10 #14J10 #14J28 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Analysis and Curvature Flows #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.math/0511031

openalex publication_date 2005/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

S. Kondō defined a birational period map from the moduli space of genus three curves to a moduli space of degree four polarized K3 surfaces. In this paper we extend the period map to a surjective morphism on a suitable compactification of \mathcal M₃ and describe its geometry.

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