Discriminants of Systems of Polynomial Equations

Student: Zagvozdkin Andrei

Supervisor: Alexander Isaakovich Esterov

Educational Programme: Mathematics (Master)

Final Grade: 7

Year of Graduation: 2019

Monomials of n variables form the lattice Zn, and a finite subset A in this lattice gives rise to the space of all Laurent polynomials whose monomials belong to A. In this space we can consider subset of all polynomials, which has a singular root. This subspace is called A-discriminant. For a tuple of finite sets of points we can also ascribe the space of system of Laurent polynomials. There are three non-equivalent ways to determine notion of discriminant for this space. We will prove that this objects coincide for most irreducible tuple.

Full text (added June 3, 2019)

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