Bounds for stable bundles and degrees of Weierstrass schemes (original) (raw)

This paper addresses the stability of vector bundles on projective varieties, extending results from curves to higher dimensions. It establishes bounds on the degree of zero schemes associated with sections of semistable vector bundles through polynomial type functions in Chern classes, which allows the authors to derive upper bounds for the degrees of Weierstrass loci on varieties of general type. The main results are summarized in several theorems that contribute to understanding the geometry of Cohen-Macaulay varieties.