Tangent, cotangent, normal and conormal bundles are almost never instanton bundles
Algebraic Geometry
2023-08-03 v2 Commutative Algebra
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.
Keywords
Cite
@article{arxiv.2303.04064,
title = {Tangent, cotangent, normal and conormal bundles are almost never instanton bundles},
author = {Gianfranco Casnati},
journal= {arXiv preprint arXiv:2303.04064},
year = {2023}
}
Comments
10 pages. Minor changes. Final version in Communications in Algebra