2 citations · 5 across the 6 of their papers we have counts for
6 papers
Lower bounds in real algebraic geometry and orientability of real toric varieties
Evgenia Soprunova, Frank Sottile
The real solutions to a system of sparse polynomial equations may be realized as a fiber of a projection map from a toric variety. When the toric variety is orientable, the degree…
Experimentation and conjectures in the real Schubert calculus for flag manifolds
James Ruffo, Yuval Sivan, Evgenia Soprunova +1
The Shapiro conjecture in the real Schubert calculus, while likely true for Grassmannians, fails to hold for flag manifolds, but in a very interesting way. We give a refinement of…
Experimentation and conjectures in the real Schubert calculus for flag manifolds (extended abstract)
James Ruffo, Yuval Sivan, Evgenia Soprunova +1
The Shapiro conjecture in the real Schubert calculus fails to hold for flag manifolds, but in a very interesting way. In this extended abstract, we give a refinement of that conjec…
Lower Bounds for Real Solutions to Sparse Polynomial Systems
Evgenia Soprunova, Frank Sottile
We show how to construct sparse polynomial systems that have non-trivial lower bounds on their numbers of real solutions. These are unmixed systems associated to certain polytopes.…
Zeros of systems of exponential sums and trigonometric polynomials
Evgenia Soprunova
Gelfond and Khovanskii found a formula for the sum of the values of a Laurent polynomial at the zeros of a system of n Laurent polynomials in the complex n-torus whose Newton polyh…
Exponential Gelfond-Khovanskii formula in dimension one
Evgenia Soprunova
Gelfond and Khovanskii found a formula for the sum of the values of a Laurent polynomial over the zeros of a system of n Laurent polynomials in the algebraic n-torus. We expect tha…