3 papers
math.AC2024
Hochster's type formulae
Fernando Sancho de Salas, Alejandro Torres Sancho
We give an elementary proof and generalize some Hochsters's type formulae on local cohomology and Ext's of squarefree modules
math.CO2023
Dualizing and canonical complexes on finite posets
Fernando Sancho de Salas, Alejandro Torres Sancho
We develop Grothendieck's theory of dualizing complexes on finite posets, and its subsequent theory of Cohen-Macaulayness.
math.AG2023
A geometrization of Stanley--Reisner theory
Fernando Sancho de Salas, Alejandro Torres Sancho
We give a geometric interpretation of the Stanley--Reisner correspondence, extend it to schemes, and interpret it in terms of the field of one element.