Mori dream regions and C*-actions

Abstract

The notion of Mori dream region (MDR for short) has been introduced by Y. Hu and S. Keel as a generalization of Mori dream spaces. In this talk we establish a correspondence between MDR associated to small Q-factorial modifications and certain C*-actions on polarized pairs (X,L), with X normal projective and L ample and C*-linearizable, called bordisms. This talk is based on a joint work in progress with E. A. Romano (University of Genova), L. E. Solá Conde (University of Trento), and S. Urbinati (University of Udine).

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