Mutations of Laurent polynomials and flat families with toric fibers (Q352310)
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scientific article; zbMATH DE number 6184274
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Mutations of Laurent polynomials and flat families with toric fibers |
scientific article; zbMATH DE number 6184274 |
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Mutations of Laurent polynomials and flat families with toric fibers (English)
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4 July 2013
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Relying on previous work [\textit{N. Ilten} and \textit{R. Vollmert}, J. Algebr. Geom. 21, No. 3, 531--562 (2012; Zbl 1244.14044)], the author gives a criterion for two toric varieties to be fibers of a flat family over \(\mathbb{P}^1\). As an application, special birational transformations of \((\mathbb{C}^*)^n\) mapping a Laurent polynomial to another one induce deformations between the toric varieties associated to these Laurent polynomials. This answers a question of Galkin and Usnich.
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toric varieties
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mirror symmetry
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deformations
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Newton polyhedra
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