A Riemann singularity theorem for generalised Brill-Noether loci

Authors
Teixidor, M
Citation
M. Teixidor, A Riemann singularity theorem for generalised Brill-Noether loci, MATH NACHR, 196, 1998, pp. 251-257
Citations number
4
Categorie Soggetti
Mathematics
Journal title
MATHEMATISCHE NACHRICHTEN
ISSN journal
0025584X → ACNP
Volume
196
Year of publication
1998
Pages
251 - 257
Database
ISI
SICI code
0025-584X(1998)196:<251:ARSTFG>2.0.ZU;2-7
Abstract
Consider a generic vector bundle E of given rank and degree. Consider the s ubscheme of the Jacobian of line bundles L such that E x L has a section. W e show that the singular locus of this subscheme consists of all line bundl es such that E x L has at least two sections.