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Stability of bundles with a given filtration on a smooth curve

Published online by Cambridge University Press:  14 November 2011

E. Ballico
E. Ballico
Affiliation:
Department of Mathematics, University of Trento, 38050 Povo (TN), Italy ([email protected])
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Abstract

Let X be a smooth projective curve of genus g ≥ 2. Here we construct stable vector bundles on X equipped with a filtration with suitable numerical properties and with stable graded subquotients.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 129 , Issue 2 , 1999 , pp. 229 - 234
Copyright
Copyright © Royal Society of Edinburgh 1999

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References

1Ballico, E.. Brill–Noether theory for vector bundles on projective curves. Math. Proc. Camb. Phil. Soc. 124 (1998), 483–499.Google Scholar
2Ballico, E.. Stable bundles on projective curves: their filtrations and their subbundles (preprint); with an Appendix by E. Ballico and B. Russo.Google Scholar
3Ballico, E., Brambila-Paz, L. and Russo, B.. Exact sequences of stable vector bundles on projective curves. Math. Nachr. 194 (1998), 5á11.Google Scholar
4Ballico, E. and Ramella, L.. The restricted tangent bundle of smooth curves in Grassmannians and curves in flag varieties (preprint).Google Scholar
5Brambila-Paz, L. and Lange, H.. A stratification of the moduli space of vector bundles on curves. J. Reine Angew Math. 494 (1998), 173–187.Google Scholar
6Laumon, G.. Fibrés vectoriels speciaux. Bull. Soc. Math. France 119 (1991), 97–119.Google Scholar
7Mercat, V.. Le problème de Brill-Noether pour des fibrés stables de petite pente. J. Reine Angew. Math. (In the press.)Google Scholar
8Russo, B. and Bigas, M. Teixidori. On a conjecture of Lange (preprint alg-geom/9710019).Google Scholar
9Bigas, M. Teixidori. Brill–Noether theory for stable vector bundles. Duke Math. J. 62 (1991), 385–400.Google Scholar