A compactification of the space of maps from curves

2011/05/31 by Bumsig Kim, Kim, Bumsig, Andrew Kresch +3 · 1 citation
Mathematics · #14N35 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1105.6143

openalex publication_date 2011/05/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct a new compactification of the moduli space of maps from pointed nonsingular projective stable curves to a nonsingular projective variety with prescribed ramification indices at the points. It is shown to be a proper Deligne-Mumford stack equipped with a natural virtual fundamental class.

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