In this paper we give a construction of algebraic (Artin) stacks endowed with a modular map onto the moduli stack of stable curves of genus g with n marked points. The stacks we construct are smooth, irreducible and have dimension 4ḡ3+n, yielding a geometrically meaningful compactification of the universal Picard stack parametrizing n-pointed smooth curves together with a line bundle. © 2010 Elsevier Inc.
MASCARENHAS MELO, A.M. (2011). Compactified Picard stacks over the moduli stack of stable curves with marked points. ADVANCES IN MATHEMATICS, 226(1), 727-763 [10.1016/j.aim.2010.07.012].
Compactified Picard stacks over the moduli stack of stable curves with marked points
MASCARENHAS MELO, ANA MARGARIDA
2011-01-01
Abstract
In this paper we give a construction of algebraic (Artin) stacks endowed with a modular map onto the moduli stack of stable curves of genus g with n marked points. The stacks we construct are smooth, irreducible and have dimension 4ḡ3+n, yielding a geometrically meaningful compactification of the universal Picard stack parametrizing n-pointed smooth curves together with a line bundle. © 2010 Elsevier Inc.File in questo prodotto:
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