In this paper we address the classification of rank 2 vector bundles E, over P^2(C), such that the zero locus of a general section of E is a set of distinct points in general position. We also discuss the existence of smooth threefolds X = P(E), arising from such bundles.
Rank 2 vector bundles over P2(C) whose sections vanish on points in general position / A. Alzati, A. Tortora. - In: REVISTA MATEMATICA COMPLUTENSE. - ISSN 1139-1138. - (2015 May 23). [10.1007/s13163-015-0173-y]
Rank 2 vector bundles over P2(C) whose sections vanish on points in general position
A. AlzatiPrimo
;A. TortoraUltimo
2015
Abstract
In this paper we address the classification of rank 2 vector bundles E, over P^2(C), such that the zero locus of a general section of E is a set of distinct points in general position. We also discuss the existence of smooth threefolds X = P(E), arising from such bundles.
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