arXiv:math/0404078 Abstract

arXiv:math/0404078 [math.AG]Abstract References Reviews Resources

Moduli of roots of line bundles on curves

Lucia Caporaso, Cinzia Casagrande, Maurizio Cornalba

Published 2004-04-05, updated 2007-02-21Version 2

We treat the problem of completing the moduli space for roots of line bundles on curves. Special attention is devoted to higher spin curves within the universal Picard scheme. Two new different constructions, both using line bundles on nodal curves as boundary points, are carried out and compared with pre-existing ones.

Comments: Final version, added references. To appear in Trans. Amer. Math. Soc

Categories: math.AG

Subjects: 14H10, 14H60, 14K30

Keywords: line bundles, universal picard scheme, higher spin curves, moduli space, boundary points

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