Fiber Fans and Toric Quotients

The GIT chamber decomposition arising from a subtorus action on a polarized quasiprojective toric variety is a polyhedral complex. Denote by Σ the fan that is the cone over the polyhedral complex. In this paper we show that the toric variety defined by the fan Σ is the normalization of the toric Chow quotient of a closely related affine toric variety by a complementary torus.

• Type: Journal
• Year: 2007
• Where: DCG
• Authors: Alastair Craw, Diane Maclagan
• Keywords: DCG 2007, Polyhedral Complex, Quasiprojective Toric Variety, Toric Variety