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arXiv · 2108.13944

Projective manifolds whose tangent bundle is Ulrich

Vladimiro Benedetti·Pedro Montero·Yulieth Prieto Montañez·Sergio Troncoso
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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.

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Vladimiro Benedetti, Pedro Montero, Yulieth Prieto Montañez, Sergio Troncoso. 2021-11-22. Projective manifolds whose tangent bundle is Ulrich. https://arxiv.org/abs/2108.13944

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