Tangent, cotangent, normal and conormal bundles are almost never instanton bundles

Gianfranco Casnati

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arXiv · 2303.04064

Tangent, cotangent, normal and conormal bundles are almost never instanton bundles

Gianfranco Casnati

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Abstract

In this very short note we give an elementary characteristic free proof of the result claimed in the title (see Theorem 1.2 for a more precise formulation), generalizing a recent result proved for Ulrich bundles over the complex field by V. Benedetti, P. Montero, Y. Prieto Monta\~nez, S. Troncoso. Moreover, we also give a similar result about the twists of the cotangent bundle and make some comments about the possibility to obtain an analogous result for twists of the tangent bundle.

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Gianfranco Casnati. 2023-03-07. Tangent, cotangent, normal and conormal bundles are almost never instanton bundles. https://arxiv.org/abs/2303.04064

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