Vol. 238, No. 1, 2008

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Kähler metrics on singular toric varieties

Dan Burns, Victor Guillemin and Eugene Lerman

Vol. 238 (2008), No. 1, 27–40
Abstract

We extend Guillemin’s formula for Kähler potentials on toric manifolds to singular quotients of N and PN.

Keywords
Kähler metric, toric, Kähler potential, Kähler reduction, stratified space
Mathematical Subject Classification 2000
Primary: 32J27
Secondary: 14M25, 53D20
Milestones
Received: 10 September 2007
Revised: 29 February 2008
Accepted: 3 March 2008
Published: 1 November 2008
Authors
Dan Burns
Department of Mathematics
University of Michigan
Ann Arbor, MI 48109-1043
United States
Victor Guillemin
Department of Mathematics
Massachussetts Institute of Technology
Cambridge, MA 02139-4307
United States
Eugene Lerman
Department of Mathematics
University of Illinois
Urbana, IL 61801
United States