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On the number of components of the moduli schemes of stable torsion-free sheaves on integral curves


Author: E. Ballico
Journal: Proc. Amer. Math. Soc. 125 (1997), 2819-2824
MSC (1991): Primary 14H60, 14D20, 14B99
DOI: https://doi.org/10.1090/S0002-9939-97-04216-0
MathSciNet review: 1443812
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Abstract | References | Similar Articles | Additional Information

Abstract: Here we give an upper bound for the number of irreducible components of the moduli scheme of stable rank $r$ torsion-free sheaves of fixed degree on the integral curve $X$. This bound depends only on $r$, $\mathrm {Sing}(X), p_a(X)$ and the corresponding number for the rank 1 case.


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Additional Information

E. Ballico
Affiliation: Department of Mathematics, University of Trento, 38050 Povo (TN), Italy
MR Author ID: 30125
Email: ballico@science.unitn.it

Received by editor(s): November 28, 1994
Additional Notes: This research was partially supported by MURST and GNSAGA of CNR (Italy). The author is a member of Europroj (and its group “Vector bundles on curves”).
Communicated by: Eric Friedlander
Article copyright: © Copyright 1997 American Mathematical Society