Abstract
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 $B_{2,L}^{k}$.
Citation
Montserrat Teixidor i Bigas. "Existence of vector bundles of rank two with fixed determinant and sections." Proc. Japan Acad. Ser. A Math. Sci. 86 (7) 113 - 118, July 2010. https://doi.org/10.3792/pjaa.86.113
Information
