Fiber fans and toric quotients

Mathematics – Algebraic Geometry

Scientific paper

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14 pages, 1 figure

Scientific paper

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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