Fabi'an Levic'an-Santib'anez

collaborators

4 papers

math.CO2026

Cyclotomic generating functions, empty weighted complete intersections and positivity

Mona Gatzweiler, Fabián Levicán-Santibáñez, Atsuro Yoshida

We give a sufficient combinatorial condition for the non-negativity of the coefficients of polynomial quotients of products of $q$ -integers, also known as cyclotomic generating fun…

math.AG2025

Classifying additive smooth Fano toric varieties

Fabián Levicán-Santibáñez, Pedro Montero

Let $K$ be an algebraically closed field of characteristic zero. An irreducible algebraic variety $X$ over $K$ of dimension $n$ is called additive if it admits a…

math.AG2025

Embeddings of weighted projective spaces

Praise Adeyemo, Dominic Bunnett, Fabián Levicán-Santibáñez

Let $X$ be a projective toric variety of dimension $n$ and let $L$ be a ample line bundle on $X$ . For $k \geq 0$ , it is in general difficult to determine whether $L^{\otimes k}$ is…

math.CO2025

Color rules for cyclic wreath products and semigroup algebras from projective toric varieties

Fabián Levicán-Santibáñez, Marino Romero

We introduce the notion of "color rules" for computing class functions of $Z_{k} ≀ S_{n}$ , where $Z_{k}$ is the cyclic group of order $k$ and $S_{n}$ is the symmetric group on $n$ letter…