مشخصات پژوهش

‎The aim of‎ ‎this talk is to extend some existing results in the Brill-Noether theory of vector bundles‎ ‎to the Brill-Noether theory of vector bundles with a fixed determinant‎. In order to do so we analyze a component in the Brill-Noether schemes of vector bundles with a fixed determinant‎. As a consequence we obtain a bound for dimension of these schemes when the determinant is the canonical line bundle and the bundles have at least ‎$‎‎k$ ‎number ‎of ‎linearly ‎independent ‎global ‎sections‎, where ‎$‎‎k$ ‎is ‎an ‎odd ‎natural ‎number.‎