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.
References in corpus (1)
Cited by in corpus (8)
- Minkowski Polynomials and Mutations
- Maximally Mutable Laurent Polynomials
- Families of Gröbner Degenerations, Grassmannians and Universal Cluster Algebras
- Projecting Fanos in the mirror
- Laurent polynomials in Mirror Symmetry: why and how?
- Newton-Okounkov bodies of flag varieties and combinatorial mutations
- Classification and Birational Equivalence of Dimer Integrable Systems for Reflexive Polygons
- Mirrors to Del Pezzo Surfaces and the Classification of -Polygons