Moduli of roots of line bundles on curves

Caporaso, Lucia; Casagrande, Cinzia; Cornalba, Maurizio

doi:10.1090/S0002-9947-07-04087-1

Moduli of roots of line bundles on curves
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by Lucia Caporaso, Cinzia Casagrande and Maurizio Cornalba PDF

Trans. Amer. Math. Soc. 359 (2007), 3733-3768 Request permission

Abstract:

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.

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