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 / E. Arrondo, A. Lanteri, C. Novelli. - In: KODAI MATHEMATICAL JOURNAL. - ISSN 0386-5991. - 36:1(2013), pp. 137-153. [10.2996/kmj/1364562725]
A notion of \Delta-multigenus for certain rank two ample vector bundles
A. LanteriSecondo
;
2013
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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