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Geometria Diferencial

Exceptional sets of birational contractions on hyperkahler manifolds
Ekaterina Amerik

Orsay and HSE (Moscow)
Terça-feira, 3 de setembro de 2019, 15:30
Sala 236.

This is a joint work with M. Verbitsky. We prove some deformation-invariance properties for the exceptional sets of birational contractions on hyperkahler manifolds. As an application we give an elementary description of the subvarieties covered by extremal rational curves on low-dimensional hyperkahler manifolds of K3 type, making explicit the one derived from the work by Bayer and Macri and answering conjectures by Hassett and Tschinkel.