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math.AG2024
On Koszul complex of a supermodule
Darío Sánchez Gómez, Fernando Sancho de Salas
This paper is devoted to an exposition of the Koszul complex of a supermodule and its Berezinian from an intrinsic and as general as possible point of view. As an application, an a…
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.
math.AG2018
An affineness criterion for algebraic groups and applications
C. Sancho de Salas, F. Sancho de Salas, J. B. Sancho de Salas
We prove that a smooth and connected algebraic group is affine if and only if any invertible sheaf on any normal -variety is -invariant. For the proof, a key ingredient i…