Discriminant loci of ample and spanned line bundles
| dc.creator | Lanteri, Antonio | |
| dc.creator | Munoz, Roberto | |
| dc.date | 2007-01-30 | |
| dc.date.accessioned | 2026-07-07T07:43:52Z | |
| dc.date.available | 2026-07-07T07:43:52Z | |
| dc.description | Let $(X,L,V)$ be a triplet where $X$ is an irreducible smooth complex projective variety, $L$ is an ample and spanned line bundle on $X$ and $V\subseteq H^0(X,L)$ spans $L$. The discriminant locus $\Cal D(X,V) \subset |V|$ is the algebraic subset of singular elements of $|V|$. We study the components of $\Cal D(X,V)$ in connection with the jumping sets of $(X,V)$, generalizing the classical biduality theorem. We also deal with the degree of the discriminant (codegree of $(X,L,V)$) giving some bounds on it and classifying curves and surfaces of codegree 2 and 3. We exclude the possibility for the codegree to be 1. Significant examples are provided. | |
| dc.identifier | https://arxiv.org/abs/math/0701870 | |
| dc.identifier | http://arxiv.org/abs/math/0701870 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/122993 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14C20; 14N05 | |
| dc.title | Discriminant loci of ample and spanned line bundles | |
| dc.type | text |