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Numerical invariants for bundles on blow-ups
Author(s):
E.
Ballico;
E.
Gasparim
Journal:
Proc. Amer. Math. Soc.
130
(2002),
23-32.
MSC (2000):
Primary 14J60, 14F05.
Posted:
May 3, 2001
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Abstract:
We suggest an effective procedure to calculate numerical invariants for rank two bundles over blown-up surfaces. We study the moduli spaces of rank two bundles on the blown-up plane splitting over the exceptional divisor as We use the numerical invariants to give a topological decomposition of
References:
- 1.
- Ballico, E. and Gasparim, E. Vector Bundles on a Neighborhood of an exceptional curve and Elementary Transformations, to appear
- 2.
- Friedman R. and Morgan, J. On the Diffeomorphism Types or Certain Algebraic Surfaces II, Journal of Diff. Geometry 27, 371-398 (1988) MR 89d:57047
- 3.
- Hartshorne, R. Algebraic Geometry, Graduate Texts in Mathematics, Springer Verlag (1977) MR 57:3116
- 4.
- Lang, S. Algebra, Addison-Wesley Pub. Co. 3rd. Ed. (1993)
- 5.
- Gasparim, E. Holomorphic bundles on
are algebraic, Comm. Algebra, 25(9), 3001-3009 (1997) MR 98f:14037 - 6.
- Gasparim, E. Rank Two Bundles on the Blow-up of
Journal of Algebra,Vol. 199, 581-590 (1998) MR 99a:14063 - 7.
- Gasparim, E. On the Topology of Holomorphic Bundles, Boletim da Sociedade Paranaense de Matemática, 18, 1-7 (1998) CMP 2000:15
- 8.
- Gasparim, E. Chern Classes of Bundles on Rational Surfaces, Politécnico di Torino, Rapporto Interno N.30 (1998)
- 9.
- Gasparim, E. Moduli of Bundles on the Blown-up Plane, math.AG/9810106
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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:
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
Posted:
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 of article:
Copyright
2001,
American Mathematical Society
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