Seminario di algebra e geometria
ore
17:00
presso Aula Seminario VIII piano
Let X be a complex projective Hyperk ̈ahler manifold. By a recent result of
H ̈oring and Peternell the cotangent bundle of X is not pseudoeffective. One way to
measure this negativity more precisely is to give sufficient conditions on an ample
line bundle A such that the twist ΩX ⊗ A is pseudoeffective. I will give a sufficient
condition that depends only on the Segre classes and the Beauville–Fujiki form of
X. Then I will discuss when this sufficent condition is also necessary. This is a
joint work with Andreas H ̈oring.