Numerical invariants for bundles on blow-ups
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- by E. Ballico and E. Gasparim PDF
- Proc. Amer. Math. Soc. 130 (2002), 23-32 Request permission
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 ${\mathcal M}_j.$References
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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
- E. Gasparim
- Affiliation: Departamento de Matematica, Universidade Federal de Pernambuco, 50670/901 Recife (PE), Brasil
- Email: gasparim@dmat.ufpe.br
- 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
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 23-32
- MSC (2000): Primary 14J60, 14F05
- DOI: https://doi.org/10.1090/S0002-9939-01-06052-X
- MathSciNet review: 1855615