Minkowski Polynomials and Mutations

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2012
• Main Authors: Akhtar, M., Coates, T., Galkin, S., Kasprzyk, A.M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2012
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148658
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Minkowski Polynomials and Mutations / M. Akhtar, T. Coates, S. Galkin, A.M. Kasprzyk // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 25 назв. — англ.

Given a Laurent polynomial f, one can form the period of f: this is a function of one complex variable that plays an important role in mirror symmetry for Fano manifolds. Mutations are a particular class of birational transformations acting on Laurent polynomials in two variables; they preserve the...