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math.AG2026
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…
math.AG2024
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…