A notion of ``delta-genus" for ample vector bundles $E$ of rank two on a smooth projective threefold $X$ is defined as a couple of integers $(delta_1,delta_2)$. This extends the classical definition holding for ample line bundles. Then pairs $(X,E)$ with low $delta_1$ and $delta_2$ are classified under suitable additional assumptions on $E$.
A notion of $Delta$-multigenus for certain rank two ample vector bundles
NOVELLI, CARLA
2013-01-01
Abstract
A notion of ``delta-genus" for ample vector bundles $E$ of rank two on a smooth projective threefold $X$ is defined as a couple of integers $(delta_1,delta_2)$. This extends the classical definition holding for ample line bundles. Then pairs $(X,E)$ with low $delta_1$ and $delta_2$ are classified under suitable additional assumptions on $E$.
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