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math.AC2026
Christophersen's problem for monomial algebras
Roberto Díaz, Alvaro Liendo
Christophersen's problem predicts that the connected component of the automorphism group of a finite-dimensional local algebra of dimension over an algebraically closed…
math.AC2026
The structure of automorphism groups of zero-dimensional monomial algebras
Roberto Díaz, Giancarlo Lucchini Arteche, Gonzalo Manzano-Flores
Let be a zero-dimensional monomial algebra over an algebraically closed field of characteristic zero, that is, a finite-dimensional quotient of a polynomial ring by a monomial…
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…