Compactified Picard stacks over the moduli stack of stable curves with marked points

2008/11/05 by Melo, Margarida
#14D20 #14D22 #14H10 #14H40 #14H60 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.0811.0763

Abstract

In this paper we give a construction of algebraic (Artin) stacks endowed with a modular map onto the moduli stack of n-pointed stable curves of genus g, for g greater than 2. These stacks are smooth, irreducible and have dimension 4g-3+n, yielding a geometrically meaningful compactification of the degree d universal Picard stack over the moduli stack of smooth curves with marked points.

Related

• Compactified Picard stacks over \mathcal M_g
• On the Picard group scheme of the moduli stack of stable pointed curves
• Stable maps to quotient stacks with a properly stable point
• The Picard group of the universal moduli space of vector bundles on\n stable curves
• One-dimensional substacks of the moduli stack of Deligne-Mumford stable curves