Fiber fans and toric quotients

Craw, A. and Maclagan, D. (2007) Fiber fans and toric quotients. Discrete and Computational Geometry, 37(2), pp. 251-266. (doi: 10.1007/s00454-006-1282-7)

Abstract

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.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Craw, Dr Alastair
• Authors: Craw, A., and Maclagan, D.
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: Discrete and Computational Geometry
• ISSN: 0179-5376
• ISSN (Online): 1432-0444