, Volume 5, Issue 1, pp 127-151
Date: 02 Apr 2010

Mori dream spaces

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Abstract.

We explore the circle of ideas connecting finite generation of the Cox ring, Mori dream spaces and invariant theory.

Communicated by: Takeshi Saito
This article is based on the 7th Takagi Lectures that the author delivered at the University of Tokyo on November 21-23, 2009.