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
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.
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