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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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