paper

Mutations of Laurent Polynomials and Flat Families with Toric Fibers

arXiv:1205.4664 · doi:10.3842/SIGMA.2012.047

Abstract

We give a general criterion for two toric varieties to appear as fibers in a flat family over the projective line. We apply this to show that certain birational transformations mapping a Laurent polynomial to another Laurent polynomial correspond to deformations between the associated toric varieties.

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