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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Moduli of roots of line bundles on curves


Authors: Lucia Caporaso, Cinzia Casagrande and Maurizio Cornalba
Journal: Trans. Amer. Math. Soc. 359 (2007), 3733-3768
MSC (2000): Primary 14H10, 14H60; Secondary 14K30
Published electronically: March 7, 2007
MathSciNet review: 2302513
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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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Additional Information

Lucia Caporaso
Affiliation: Dipartimento di Matematica, Università Roma Tre, Largo S. L. Murialdo, 1, 00146 Roma, Italy
Email: caporaso@mat.uniroma3.it

Cinzia Casagrande
Affiliation: Dipartimento di Matematica “L. Tonelli”, Università di Pisa, Largo B. Pontecorvo, 5, 56127 Pisa, Italy
Email: casagrande@dm.unipi.it

Maurizio Cornalba
Affiliation: Dipartimento di Matematica “F. Casorati”, Università di Pavia, Via Ferrata, 1, 27100 Pavia, Italy
Email: maurizio.cornalba@unipv.it

DOI: http://dx.doi.org/10.1090/S0002-9947-07-04087-1
PII: S 0002-9947(07)04087-1
Received by editor(s): April 12, 2005
Received by editor(s) in revised form: May 25, 2005
Published electronically: March 7, 2007
Article copyright: © Copyright 2007 American Mathematical Society