Kaehler metrics on singular toric varieties

2005/01/20 by Burns, D., Guillemin, V., Lerman, E.
#Differential Geometry (math.DG) #FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.math/0501311

Abstract

We extend Guillemin's formula for Kaehler potentials on toric manifolds to singular quotients of C^N and CP^N.

Related

• The Guillemin formula and Kaehler metrics on toric symplectic manifolds
• A splitting theorem on toric varieties
• Kahler geometry of toric varieties and extremal metrics
• KÄHLER GEOMETRY OF TORIC VARIETIES AND EXTREMAL METRICS
• Potential functions and actions of tori on Kaehler manifolds