Mutations of Laurent Polynomials and Flat Families with Toric Fibers

作者：Ilten Nathan Owen^*

来源：Symmetry Integrability and Geometry-Methods and Applications, 2012, 8: 047.

DOI：10.3842/SIGMA.2012.047

• toric varieties
• mirror symmetry
• deformations
• Newton polyhedra

We give a general criterion for two toric varieties to appear as fibers in a flat family over P-1. 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.

• 出版日期2012