Ulrich bundles of arbitrary rank on Segre-Veronese varieties
Algebraic Geometry
2023-03-21 v1
Abstract
We generalize the results by Eisenbud and Schreyer about Ulrich bundles over Veronese varieties to Segre-Veronese varieties. We discuss the range where we have natural cohomology and we construct multigraded resolutions and monads for Ulrich bundles of any rank. Moreover we give cohomological characterizations for significant families of bundles.
Keywords
Cite
@article{arxiv.2303.11113,
title = {Ulrich bundles of arbitrary rank on Segre-Veronese varieties},
author = {Francesco Malaspina},
journal= {arXiv preprint arXiv:2303.11113},
year = {2023}
}
Comments
18 pages, the final version will appear on J. of Algebra