Data di Pubblicazione:
2007
Citazione:
Ample vector bundles with sections vanishing on submanifolds of sectional genus three / A. Lanteri, H. Maeda (CONTEMPORARY MATHEMATICS). - In: Algebra, Geometry and their Interactions / [a cura di] A. Corso, J. Migliore, C. Polini. - Providence R. I. : American Mathematical Society, 2007 Dec. - ISBN 0-8218-4094-0. - pp. 165-182
Abstract:
Let E be an ample vector bundle of rank r geq 2 on a smooth complex projective variety X of dimension n such that there exists a global section of E whose zero locus Z is a smooth subvariety of dimension n-r geq 2 of X. Let H be an ample line bundle on X such that |H| defines an embedding of Z. The triplets (X,E,H) such that (Z,H_Z) has sectional genus g(Z,H_Z) = 3 are classified. This is the first step towards the classification of ample vector bundles of rank n-1 on X of curve genus three.
Tipologia IRIS:
03 - Contributo in volume
Keywords:
Ample vector bundle ; curve genus ; sectional genus
Elenco autori:
A. Lanteri, H. Maeda
Link alla scheda completa:
Titolo del libro:
Algebra, Geometry and their Interactions