Mutations of Laurent Polynomials and Flat Families with Toric Fibers

We give a general criterion for two toric varieties to appear as fibers in a flat family over P¹. 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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Bibliographic Details
Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2012
Main Author: Ilten, N.O.
Format: Article
Language:English
Published: Інститут математики НАН України 2012
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/148435
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Mutations of Laurent Polynomials and Flat Families with Toric Fibers / N.O. Ilten // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 6 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine