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arXiv:2108.13944 [math.AG]AbstractReferencesReviewsResources

Projective manifolds whose tangent bundle is Ulrich

Vladimiro Benedetti, Pedro Montero, Yulieth Prieto Montañez, Sergio Troncoso

Published 2021-08-31Version 1

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.

Comments: with an Appendix by Vladimiro Benedetti. 20 pages. Comments are welcome!
Categories: math.AG
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