A natural notion of ``delta-genus'' $Delta$ for a generalized polarized manifold $(X,{mathcal E})$, strictly related to its associated scroll, is introduced and pairs $(X,{mathcal E})$ with low $Delta$ are classified. The stronger are the properties enjoyed by the vector bundle ${mathcal E}$, the larger are the values of $Delta$ attained by the results.

Ample vector bundles of small Delta-genera

NOVELLI, CARLA
2010-01-01

Abstract

A natural notion of ``delta-genus'' $Delta$ for a generalized polarized manifold $(X,{mathcal E})$, strictly related to its associated scroll, is introduced and pairs $(X,{mathcal E})$ with low $Delta$ are classified. The stronger are the properties enjoyed by the vector bundle ${mathcal E}$, the larger are the values of $Delta$ attained by the results.
2010
323
671
697
http://www.sciencedirect.com/science/article/pii/S0021869309006036
ample vector bundles; special varieties; Delta-genus; adjunction theory
A. Lanteri; NOVELLI, CARLA
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/1852323
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