Data di Pubblicazione:
2008
Citazione:
Discriminant loci of ample and spanned line bundles / A. Lanteri, R. Munoz. - In: JOURNAL OF PURE AND APPLIED ALGEBRA. - ISSN 0022-4049. - 212:4(2008 Apr), pp. 808-831. [10.1016/j.jpaa.2007.07.007]
Abstract:
Let (X,L,V) be a triplet where X is an irreducible smooth complex projective variety, L is an ample line bundle on X and V is a vector space of sections of L spanning L. The discriminant locus D(X,V) is the algebraic subset of the linear system |V| parameterizing the singular elements. We study the components of 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.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Linear system ; discriminant locus ; ample and spanned line bundle ; codegree
Elenco autori:
A. Lanteri, R. Munoz
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