Minkowski Polynomials and Mutations

@article{Akhtar2012MinkowskiPA,
  title={Minkowski Polynomials and Mutations},
  author={M. Akhtar and T. Coates and Sergey Galkin and A. Kasprzyk},
  journal={Symmetry Integrability and Geometry-methods and Applications},
  year={2012},
  volume={8},
  pages={094}
}
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 period and are closely connected with cluster algebras. We propose a higher-dimensional analog of mutation acting on Laurent polynomials f in n variables. In particular we give a combinatorial… Expand

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References

SHOWING 1-10 OF 43 REFERENCES
Maximal periods of (Ehrhart) quasi-polynomials
Upper Bounds for Mutations of Potentials
Cluster algebras
A Note on Palindromic delta-Vectors for Certain Rational Polytopes
...
1
2
3
4
5
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