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 $E$.
2013
36
1
137
153
http://projecteuclid.org/euclid.kmj/1364562725
ample vector bundles; Grassmannian of lines; special varieties; $Delta$-genus; classification
E. Arrondo; A. Lanteri; NOVELLI, CARLA
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/1852338
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