Vadym Kurylenko

activity

20202026

collaborators

6 papers

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…

math.CO2025

Examples of IDP lattice polytopes with non-log-concave $h^{*}$ -vector

Johannes Hofscheier, Vadym Kurylenko, Benjamin Nill

Lattice polytopes are called IDP polytopes if they have the integer decomposition property, i.e., any lattice point in a $k$ th dilation is a sum of $k$ lattice points in the polyto…

math.CO2024

Thin Simplices via Modular Arithmetic

Vadym Kurylenko

The local $h^{*}$ -polynomial is a natural invariant of a lattice polytope appearing in Ehrhart theory and Hodge theory. In this work, we study the question posed in [GKZ94] concernin…

math.AG2020

The algebra of derivations of quasi-modular forms from mirror symmetry

Murad Alim, Vadym Kurylenko, Martin Vogrin

We study moduli spaces of mirror non-compact Calabi-Yau threefolds enhanced with choices of differential forms. The differential forms are elements of the middle dimensional cohomo…