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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Numerical invariants for bundles on blow-ups


Authors: E. Ballico and E. Gasparim
Journal: Proc. Amer. Math. Soc. 130 (2002), 23-32
MSC (2000): Primary 14J60, 14F05.
Published electronically: May 3, 2001
MathSciNet review: 1855615
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Abstract | References | Similar Articles | Additional Information

Abstract:

We suggest an effective procedure to calculate numerical invariants for rank two bundles over blown-up surfaces. We study the moduli spaces ${\mathcal M}_j$ of rank two bundles on the blown-up plane splitting over the exceptional divisor as ${\mathcal O}(j) \oplus {\mathcal O}(-j).$ We use the numerical invariants to give a topological decomposition of ${\mathcal M}_j.$


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Additional Information

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

E. Gasparim
Affiliation: Departamento de Matematica, Universidade Federal de Pernambuco, 50670/901 Recife (PE), Brasil
Email: gasparim@dmat.ufpe.br

DOI: http://dx.doi.org/10.1090/S0002-9939-01-06052-X
PII: S 0002-9939(01)06052-X
Received by editor(s): September 1, 1999
Received by editor(s) in revised form: May 29, 2000
Published electronically: May 3, 2001
Additional Notes: The first author was partially supported by MURST (Italy)
The second author was partially supported by CNPQ (Brasil)
Communicated by: Michael Stillman
Article copyright: © Copyright 2001 American Mathematical Society