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math.OA2018
Nevanlinna-Pick Families and Singular Rational Varieties
Kenneth R. Davidson, Eli Shamovich
The goal of this note is to apply ideas from commutative algebra (a.k.a. affine algebraic geometry) to the question of constrained Nevanlinna-Pick interpolation. More precisely, we…
math.CV2018
How to count zeroes of polynomials on quadrature domains using the Bezout matrix
Eli Shamovich, Victor Vinnikov
Classically, the Bezout matrix or simply Bezoutian of two polynomials is used to locate the roots of the polynomial and, in particular, test for stability. In this paper, we develo…