F-Polynomials and Newton Polytopes

Title:F-Polynomials and Newton Polytopes

Authors:Denis Mironov and Gleb Koshevoy

Conference:SYNASC2022

Tags:Berenstein-Kazhdan potential, F-polynomials, Gross-Hacking-Keel-Kontsevich potential, Newton polytopes and Symbolic calculations

Abstract:

We provide an effective algorithmic method for computation of Gross-Keel-Hacking-Kontsevich potential, F-polynomials and Bernstein-Kazhdan decoration function and it's complexity bounds. For simply laced Lie algebras we make conjecture and provide experimental evidence that Newton polytopes for Gross-Keel-Hacking-Kontsevich potential do not contain any interior lattice points.

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