4 citations · 6 across the 6 of their papers we have counts for
4 papers · 1 filter
Characterization of Stanley-Reisner varieties by their automorphism group
Roberto Díaz, José Alejandro Samper
We study the automorphism ind-group of a Stanley-Reisner variety through a combinatorial toolkit on the underlying complex: a facet closure operator, its Demazure roots, and…
The Automorphism groups of zero-dimensional monomial algebras
Roberto Díaz, Alvaro Liendo, Gonzalo Manzano-Flores +1
A monomial algebra B is defined as a quotient of a polynomial ring by a monomial ideal, which is an ideal generated by a finite set of monomials. In this paper, we determine the au…
On the characterization of affine toric varieties by their automorphism group
Roberto Díaz, Alvaro Liendo, Andriy Regeta
In this paper we show that a normal affine toric variety X different from the algebraic torus is uniquely determined by its automorphism group in the category of affine irreducible…
On the automorphism group of non-necessarily normal affine toric varieties
Roberto Díaz, Alvaro Liendo
Our main result is the following: let X be a normal affine toric surface without torus factor. Then there exists a non-normal affine toric surface X' with automorphism group isomor…