activity
20002024
most citedOn some local cohomology spectral sequences

7 citations · 16 across the 9 of their papers we have counts for

collaborators

11 papers

math.AC2024

Regularity of deficiency modules through spectral sequences

Alberto F. Boix, Santiago Zarzuela

The main goal of this paper is to obtain upper bounds for the regularity of graded deficiency modules in the spirit of the one obtained by Kumini--Murai in the monomial case buildi…

math.AC2022

On the infinitely generated locus of Frobenius algebras of rings of prime characteristic

Alberto F. Boix, Danny A. J. Gómez--Ramírez, Santiago Zarzuela

Let be a commutative Noetherian ring of prime characteristic . The main goal of this paper is to study in some detail when \[ \overline{W^R}:=\{\mathfrak{p}\in\operatorname{…

math.AC2018★ 7 cited

On some local cohomology spectral sequences

Josep Àlvarez Montaner, Alberto F. Boix, Santiago Zarzuela

We introduce a formalism to produce several families of spectral sequences involving the derived functors of the limit and colimit functors over a finite partially ordered set. The…

math.AC2016

Frobenius and Cartier algebras of Stanley-Reisner rings (II)

Alberto F. Boix, Santiago Zarzuela

It is known that the Frobenius algebra of the injective hull of the residue field of a complete Stanley--Reisner ring (i.e. a formal power series ring modulo a squarefree monomial…

math.AC2012

Divisors of a module and blow up

Ana L. Branco Correia, Santiago Zarzuela

In this paper we work with several divisors of a module having rank , such as the classical Fitting ideals of and of , and the more recentl…

math.AC2011

Frobenius and Cartier algebras of Stanley-Reisner rings

Josep Alvarez Montaner, Alberto F. Boix, Santiago Zarzuela

We prove that the Frobenius algebra of the injective hull of a complete Stanley-Reisner ring as well as its Matlis dual notion of Cartier algebra can be only principally generated…