39 citations · 66 across the 12 of their papers we have counts for
13 papers
The volume polynomial of lattice polygons
Ivan Soprunov, Jenya Soprunova
We prove that every indefinite quadratic form with non-negative integer coefficients is the volume polynomial of a pair of lattice polygons. This solves the discrete version of the…
Lattice Size in Higher Dimension
Abdulrahman Alajmi, Sayok Chakravarty, Zachary Kaplan +1
The lattice size of a lattice polytope is a geometric invariant which was formally introduced in the context of simplification of the defining equation of an algebraic curve, but a…
Lattice Size of Width One Lattice Polytopes in
Abdulrahman Alajmi, Jenya Soprunova
The lattice size of a lattice polytope is a geometric invariant, which was formally introduced in relation to the problem of bounding the total degree…
Bounds on Area Involving Lattice Size
Jenya Soprunova
The lattice size of a lattice polygon was introduced and studied by Schicho, and by Castryck and Cools in relation to the problem of bounding the total degree and the bi-degree…
-zeros of sparse trivariate polynomials and toric 3-fold codes
Kyle Meyer, Ivan Soprunov, Jenya Soprunova
For a given lattice polytope in , consider the space of trivariate polynomials over a finite field , whose Newton polytopes are cont…
Lattice Size of Plane Convex Bodies
Anthony Harrison, Jenya Soprunova, Patrick Tierney
The lattice size of a lattice polygon with respect to the standard simplex was introduced and studied by Castryck and Cools in the context of simpl…