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arXiv · 1205.4664

Mutations of Laurent Polynomials and Flat Families with Toric Fibers

Nathan Owen Ilten
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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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Nathan Owen Ilten. 2012-07-28. Mutations of Laurent Polynomials and Flat Families with Toric Fibers. https://doi.org/10.3842/sigma.2012.047

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