Carlos E. Valencia

collaborators

3 papers

math.CO2026

Ehrhart Functions of Weighted Lattice Points

Jesus A. De Loera, Carlos E. Valencia, Rafael H. Villarreal +1

This paper studies three different ways to assign weights to the lattice points of a convex polytope and discusses the algebraic and combinatorial properties of the resulting weigh…

math.AC2026

Signature invariants of monomial ideals

Jovanny Ibarguen, Carlos E. Valencia, Rafael H. Villarreal

Let $I$ be a monomial ideal of a polynomial ring $R = K [x_{1}, \dots, x_{n}]$ over a field $K$ and let $sgn (I)$ be its signature ideal. If $I$ is not a principal ideal, we show that…

math.CO2025

Weighted Ehrhart functions

Enrique Reyes, Carlos E. Valencia, Rafael H. Villarreal

We give an algorithm to compute weighted Ehrhart functions of lattice polytopes for polynomial weights using Lagrange interpolation. We show how to compute generating functions of…