中科院数学与系统科学研究院
数学研究所
代数几何研讨班
报告人：Prof. Andreas H？ring（Université de Nice Sophia Antipolis）
题 目：Cotangent bundle of Hyperk？hler manifolds
时 间：2019.12.11（星期三），10:45-11:45
地 点：晨兴410室
摘 要：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 Hyperk？hler 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.
