Projective manifolds whose tangent bundle is Ulrich

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

doi:10.1016/j.jalgebra.2023.03.046

Projective manifolds whose tangent bundle is Ulrich

Sergio Troncoso, Yulieth Prieto–Montañez + Show 2 more

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https://doi.org/10.1016/j.jalgebra.2023.03.046

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Journal: Journal of Algebra	Publication Date: Apr 28, 2023
Citations: 2

Affiliation: Federico Santa María Technical University, The Abdus Salam International Centre for Theoretical Physics (ICTP), Institut de Mathématiques de Bourgogne, University of Burgundy, French National Centre for Scientific Research

#Projective Manifolds #Tangent Bundle + Show 6 more

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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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