Vector bundles on ruled Fano 3-folds |
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Authors: | Laura Costa |
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Affiliation: | Dept. Algebra i Geometria, Facultat de Matemètiques, Universitat de Barcelona, E-08007 Barcelona, Spain.?e-mail: costa@mat.ub.es, ES
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Abstract: | Let be a ruled Fano 3-fold. The goal of this paper is to compute the dimension, prove the irreducibility and smoothness and describe the structure of the moduli space M L (2;c 1,c 2) of L-stable, rank 2 vector bundles E on X with certain Chern classes and for a suitable polarization L closely related to c 2. More precisely, we will cover the study of some moduli spaces M L (2;c 1,c 2) such that the generic point is given as a non-trivial extension of line bundles. This work nicely reflects the general philosophy that moduli spaces inherits a lot of geometrical properties of the underlying variety. Received: 16 February 1999 / Revised version: 2 July 1999 |
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Keywords: | Mathematics Subject Classification (1991):14F05 14D20 14J45 |
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