12 citations · 26 across the 12 of their papers we have counts for
4 papers · 1 filter
On real roots of polynomial systems of equations in the context of group theory
Boris Kazarnovskii
The probability that a zero of a random real polynomial of increasing degree is real tends to zero. However, passing from polynomials to Laurent polynomials yields a surprising res…
Ring of conditions for affine space
Boris Kazarnovskii
The exponential sum (ES) is a linear combination of characters of an additive group . The exponential analytic set (EAS) is a set of common zeroes of a finite tuple of…
Newton polyhedra, tropical geometry and the ring of condition for
Boris Kazarnovskii, Askold Khovanskii
The ring of conditions defined by C. De Concini and C. Procesi is an intersection theory for algebraic cycles in a spherical homogeneous space. In the paper we consider the ring of…
Exponential tropical varieties and complex Monge-Ampere operator
Boris Kazarnovskii
Sometimes it is possible to extend some using Newton polyhedra computations in algebraic geometry from polynomials to exponential sums. For this purpose it is useful to consider an…