Proceedings of the American Mathematical Society

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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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 ${\mathcal M}_j.$

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 ${\mathcal O}(-k)$ are algebraic, Comm. Algebra, 25(9), 3001-3009 (1997) MR 98f:14037
6.: Gasparim, E. Rank Two Bundles on the Blow-up of $\mathbf{C}^2,$ 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

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 14J60, 14F05.

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

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