Projective manifolds whose tangent bundle is Ulrich
Algebraic Geometry
2021-11-23 v2
Abstract
In this article, we give numerical restrictions on the Chern classes of Ulrich bundles on higher-dimensional manifolds, which are inspired by the results of Casnati in the case of surfaces. As a by-product, we prove that the only projective manifolds whose tangent bundle is Ulrich are the twisted cubic and the Veronese surface. Moreover, we prove that the cotangent bundle is never Ulrich.
Cite
@article{arxiv.2108.13944,
title = {Projective manifolds whose tangent bundle is Ulrich},
author = {Vladimiro Benedetti and Pedro Montero and Yulieth Prieto Montañez and Sergio Troncoso},
journal= {arXiv preprint arXiv:2108.13944},
year = {2021}
}
Comments
with an Appendix by Vladimiro Benedetti. 19 pages. Comments are welcome! v2: minor modifications