On Chow quotients of torus actions

Abstract

We consider torus actions on Mori dream spaces and ask whether the associated Chow quotient is again a Mori dream space and, if so, what does its Cox ring look like. We provide general tools for the study of these problems and give solutions for k*-actions on smooth quadrics.

19 pages

References in corpus (1)

• Factorially graded rings and Cox rings

Cited by in corpus (6)

• Computing Cox rings
• Kahler-Einstein metrics on symmetric Fano T-varieties
• Cox rings of cubic surfaces and Fano threefolds
• On the Cox ring of blowing up the diagonal
• Cox rings of extremal rational elliptic surfaces
• Point Configurations and Translations