Schwarzenberger bundles on smooth projective varieties

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.

arXiv comment19 pages

References in corpus (2)

• Unstable hyperplanes for Steiner bundles and multidimensional matrices
• Schwarzenberger bundles on smooth projective varieties

Cited by in corpus (2)

• Schwarzenberger bundles on smooth projective varieties
• Jumping pairs of Steiner bundles