Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	Prof. Andreas Horing，Université de Nice Sophia Antipolis
Inviter:
Title:	Cotangent bundle of Hyperkahler manifolds
Time & Venue:	2019.12.11 10:45-11:45 C410
Abstract:	Let X be a complex projective manifold that is Hyperk?hler. By a recent result of Thomas Peternell and myself the cotangent bundle of X is not pseudoeffective. One way to mesure this negativity more precisely is to give sufficient conditions for the twist Omega_X otimes A to be pseudoeffective if A is some ample line bundle. I will report on work with Fabrizio Anella : for Hyperkahler manifolds of type K3^n, we give a sufficient condition that depends only on the Segre classes/Beauville form of X. For K3 surfaces this sufficient condition is necessary for infinitely many 19-dimensional families.