Excess dimensions for Brill-Noether schemes of stable vector bundles

2021/01/17 by Ali Bajravani, Bajravani, Ali
Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2101.06681

Abstract

We extend a result by Fulton-Harris-Lazarsfeld in Brill-Noehter theory of line bundles and, as well, a result by Aprod-Sernesi in theory of Secant Loci, to the Brill-Noehter locus of stable bundles inside the moduli space of higher rank stable vector bundles on a smooth projective algebraic curve. We give some consequences of this extended result.

Related

• Excess dimensions of Brill--Noether schemes of rank two stable bundles
• Brill--Noether loci of stable rank--two vector bundles on a general curve
• Martens and Mumford theorems for higher rank Brill--Noether loci
• Brill-Noether loci of rank two vector bundles on a general ν-gonal curve
• Brill-Noether Theory for stable vector bundles