Existence of vector bundles of rank two with fixed determinant and sections

Teixidor i Bigas, Montserrat

Proc. Japan Acad. Ser. A Math. Sci., Tome 86 (2010) no. 1, p. 113-118 / Harvested from Project Euclid

Résumé

Consider the scheme $B_{2,L}^{k}$ of stable vector bundles of rank two and fixed determinant $L$ which have at least $k$ sections. Under suitable numerical conditions and for generic $L$, we show the existence of a component of the expected dimension of $B_{2,L}^{k}$.

Publié le : 2010-07-15
Classification: Vector bundle, Brill-Noether, 14H60

@article{1279719311,
     author = {Teixidor i Bigas, Montserrat},
     title = {Existence of vector bundles of rank two with fixed determinant and sections},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {86},
     number = {1},
     year = {2010},
     pages = { 113-118},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1279719311}
}

Teixidor i Bigas, Montserrat. Existence of vector bundles of rank two with fixed determinant and sections. Proc. Japan Acad. Ser. A Math. Sci., Tome 86 (2010) no. 1, pp.  113-118. http://gdmltest.u-ga.fr/item/1279719311/