Comptes Rendus
no. 3-4
Algebraic Geometry
Some examples of vector bundles in the base locus of the generalized theta divisor
[Quelques examples de fibrés dans le lieu de base du diviseur thêta généralisé]

Présenté par : Gérard Laumon

Sebastian Casalaina-Martin1 ; Tawanda Gwena2 ; Montserrat Teixidor i Bigas2
1 Department of Mathematics, University of Colorado at Boulder, Campus Box 395, Boulder, CO 80309-0395, USA
2 Mathematics Department, Tufts University, Medford MA 02155, USA
Comptes Rendus. Mathématique, Volume 347 (2009) no. 3-4, pp. 173-176.

We show that, on the moduli space of semi-stable vector bundles of fixed rank and determinant (of any degree) on a curve, the base locus of the theta divisor as well as its n-multiples is large. This extends known results for the case of trivial determinant and n=1.

On prouve que, sur l'espace de modules des fibrés stables de déterminant fixé (et degré quelconque) sur une courbe, le lieu de base du diviseur thêta généralisé ainsi que ses n-multiples est assez grand. Ce travail étend des résultats connus pour le cas de degré zéro et n=1.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2008.12.014

Sebastian Casalaina-Martin 1 ; Tawanda Gwena 2 ; Montserrat Teixidor i Bigas 2

1 Department of Mathematics, University of Colorado at Boulder, Campus Box 395, Boulder, CO 80309-0395, USA
2 Mathematics Department, Tufts University, Medford MA 02155, USA 
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Sebastian Casalaina-Martin; Tawanda Gwena; Montserrat Teixidor i Bigas. Some examples of vector bundles in the base locus of the generalized theta divisor. Comptes Rendus. Mathématique, Volume 347 (2009) no. 3-4, pp. 173-176. doi : 10.1016/j.crma.2008.12.014. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2008.12.014/

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