Nef vector bundles on a projective space or a hyperquadric with the first Chern class small
Algebraic Geometry
2016-07-19 v3
Abstract
We give a new proof of the classification due to Peternell-Szurek-Wi\'{s}niewski of nef vector bundles on a projective space with the first Chern class less than three and on a smooth hyperquadric with the first Chern class less than two over an algebraically closed field of characteristic zero.
Cite
@article{arxiv.1409.4191,
title = {Nef vector bundles on a projective space or a hyperquadric with the first Chern class small},
author = {Masahiro Ohno},
journal= {arXiv preprint arXiv:1409.4191},
year = {2016}
}
Comments
29 pages; v3: The title is changed, and sections 2 and 3 in v2 are simplified and unified; v2: An error in Remark 7.6 is fixed, and the corresponding corrections are made in Theorem 7.5. Lemmas 7.2 and 7.4 are improved and Lemma 7.4 becomes Theorem 7.4. Some proofs are replaced by shorter ones