Vadym Kurylenko

activity

20202026

collaborators

Showing 2026Show all

3 papers · 1 filter

math.CO2026

A very ample lattice polytope with a non-unimodal $h^{*}$ -vector

Johannes Hofscheier, Vadym Kurylenko, Benjamin Nill

Lattice polytopes are called very ample if for every sufficiently large $k$ every lattice point of height $k$ in the cone over the lattice polytope is the sum of $k$ lattice points…

math.AG2026

The Euler Stratification for $P^{1} \times P^{1} \times P^{n}$

Serkan Hoşten, Vadym Kurylenko, Elke Neuhaus +1

We study the Euler characteristic of a hypersurface in $(C^{*})^{2} \times (C^{*})^{n}$ defined by a polynomial whose monomial support corresponds to lattice points in $Δ…

math.CO2026

Preserving Hodge Vectors of Lattice Polytopes

Vadym Kurylenko, Benjamin Nill

Given lattice polytopes $P_{1}, \dots, P_{k}$ contained in a $k$ -dimensional subspace $U \subseteq R^{d}$ and a $d$ -dimensional lattice polytope $Q \subset R^{d}$ , we co…

A very ample lattice polytope with a non-unimodal h∗-vector

The Euler Stratification for P1×P1×Pn

Preserving Hodge Vectors of Lattice Polytopes

A very ample lattice polytope with a non-unimodal $h^{*}$ -vector

The Euler Stratification for $P^{1} \times P^{1} \times P^{n}$