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Fiber Fans and Toric Quotients |
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| Authors: | Alastair Craw Diane Maclagan |
| Institution: | (1) Department of Mathematics, University of Glasgow, University Gardens, Glasgow G12 8QW, Scotland;(2) Department of Mathematics, Hill Center-Busch Campus, Rutgers University, 110 Frelinghuysen Road, Piscataway, NJ 08854, USA |
| 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. |
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