Mutations of Laurent Polynomials and Flat Families with Toric Fibers

Домашня сторінка
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Фізико-технічні та математичні науки
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Відділення математики
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8
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Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8, випуск за цей рік
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Mutations of Laurent Polynomials and Flat Families with Toric Fibers

Інший ID: 2010 Mathematics Subject Classification: 14M25; 14D06; 53D37
DOI: http://dx.doi.org/10.3842/SIGMA.2012.047

URI: http://dspace.nbuv.gov.ua/handle/123456789/148435

Посилання: 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.

Підтримка: This paper is a contribution to the Special Issue “Mirror Symmetry and Related Topics”. The full collection is available at http://www.emis.de/journals/SIGMA/mirror symmetry.html.

Дата: 2012

Завантажень: 226

Mutations of Laurent Polynomials and Flat Families with Toric Fibers

Анотація:

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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