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Criteria for Very Ampleness of Rank Two Vector Bundles over Ruled Surfaces

Published online by Cambridge University Press:  20 November 2018

Alberto Alzati  and
Gian Mario Besana
Alberto Alzati*
Affiliation:
Dipartimento di Matematica, Univ. di Milano, 20133 Milano, Italy
Gian Mario Besana*
Affiliation:
College of Computing and Digital Media, De Paul University, Chicago, IL, 60604, U.S.A
*
alberto.alzati@unimi.it
gbesana@depaul.edu
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Abstract

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Very ampleness criteria for rank 2 vector bundles over smooth, ruled surfaces over rational and elliptic curves are given. The criteria are then used to settle open existence questions for some special threefolds of low degree.

Keywords

14E0514J30vector bundlesvery amplenessruled surfaces
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 62 , Issue 6 , 14 December 2010 , pp. 1201 - 1227
Copyright
Copyright © Canadian Mathematical Society 2010

Footnotes

This work is within the framework of the national research project “Geomety of Algebraic Varieties” Cofin 2006 of MIUR.

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