3 papers
math.AG2022
Klyachko diagrams of monomial ideals
Rosa M. Miró-Roig, Martí Salat-Moltó
In this paper, we introduce the notion of a Klyachko diagram for a monomial ideal in a certain multi-graded polynomial ring, namely the Cox ring of a smooth complete toric…
math.AG2021
Multigraded Castelnuovo-Mumford regularity via Klyachko filtrations
Rosa M. Miró-Roig, Martí Salat-Moltó
In this paper, we consider graded modules on the graded Cox ring of a smooth complete toric variety . Using…
math.AG2021
Hypertetrahedral arrangements
Liena Colarte, Laura Costa, Simone Marchesi +2
In this paper, we introduce the notion of a complete hypertetrahedral arrangement in . We address two basic problems. First, we describe the local fre…