English

Schwarzenberger bundles on smooth projective varieties

Algebraic Geometry 2014-02-26 v2

Abstract

We define Schwarzenberger bundles on any smooth projective variety X. We introduce the notions of jumping pairs of a Steiner bundle E on X and determine a bound for the dimension of its jumping locus. We completely classify Steiner bundles whose set of jumping pairs have maximal dimension, proving that they are all Schwarzenberger bundles.

Keywords

Cite

@article{arxiv.1306.0746,
  title  = {Schwarzenberger bundles on smooth projective varieties},
  author = {Enrique Arrondo and Simone Marchesi and Helena Soares},
  journal= {arXiv preprint arXiv:1306.0746},
  year   = {2014}
}

Comments

19 pages

R2 v1 2026-06-22T00:27:43.572Z