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Rational curves on hyperkahler manifolds.

QMAP Seminar

Speaker: Ekaterina Amerik, HSE, Moscow
Location: 2112 MSB
Start time: Thu, Feb 13 2014, 4:10PM

Let M be an irreducible holomorphically symplectic manifold. The faces of the Kahler cone of M are supported by hyperplanes H_i orthogonal to certain homology classes, which we call monodromy birationally minimal (MBM) classes. It turns out that the MBM classes are deformation-invariant (as soon as the class in question stays of type (1,1)) and that the Kahler cone is a connected component of a complement of the positive cone to the union of all H_i. This allows us to prove some results towards the Morrison-Kawamata cone conjecture for hyperkahler manifolds. This is a joint work with Misha Verbitsky.

Joint with Geometry/Topology seminar