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Fiber fans and toric quotients

Alastair Craw·Diane Maclagan
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Abstract

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

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Alastair Craw, Diane Maclagan. 2005-10-06. Fiber fans and toric quotients. https://arxiv.org/abs/math/0510128

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