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Twisted cotangent bundles of Hyperk\"ahler manifolds by Anella, Fabrizio; Höring, Andreas is a scholarly article available to read on EtoBox.

What is Twisted cotangent bundles of Hyperk\"ahler manifolds about?

Let $X$ be a Hyperk\"ahler manifold, and let $H$ be an ample divisor on $X$. We give a lower bound in terms of the Beauville-Bogomolov form $q(H)$ for the twisted cotangent bundle $\Omega_X \otimes H$ to be pseudoeffective. If $X$ is deformation equivalent to the Hilbert scheme of a K3 surface the lower bound can be written down explicitly and we study its optimality.

Author

Anella, Fabrizio; Höring, Andreas

Published

2019

Language

EN