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

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

2008-11-05

arxiv.org/abs/0811.0763v1

Mathematics

Algebraic Geometry

Part of the author's Ph.D. thesis

Scientific paper

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.

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