Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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On the log minimal model program for irreducible symplectic varieties

Gianluca Pacienza

created by risa on 24 Feb 2015

5 mar 2015 -- 14:30

Aula 211, Dip. Matematica, Università "Roma Tre", Roma


We show the termination of any log-minimal model program for a pair (X, D) of a projective irreducible symplectic manifold X and an effective R-divisor D. To prove the result we follow Shokurov's strategy and show that LSC and ACC for mld's hold for all the models appearing along any log-MMP of the initial pair. To establish ACC a crucial result, which may be interesting on its own, is a generalization to the singular setting of Huybrechts' theorem on deformation equivalence of birational hyperkahler manifolds. This is a joint work with Christian Lehn.

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