Zobrazeno 1 - 10
of 82
pro vyhledávání: '"Zarzuela, Santiago"'
Autor:
Boix, Alberto F., Zarzuela, Santiago
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 building upon the spectral sequence formalism developed by \`Alvarez Montane
Externí odkaz:
http://arxiv.org/abs/2412.00092
Let $R$ be a commutative Noetherian ring of prime characteristic $p$. The main goal of this paper is to study in some detail when \[ \overline{W^R}:=\{\mathfrak{p}\in\operatorname{Spec} (R):\ \mathcal{F}^{E_{\mathfrak{p}}}\text{ is finitely generated
Externí odkaz:
http://arxiv.org/abs/2203.08511
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 first type of spectral sequences involves the left derived functors o
Externí odkaz:
http://arxiv.org/abs/1802.02025
We construct a Koszul complex in the category of left skew polynomial rings associated to a flat endomorphism that provides a finite free resolution of an ideal generated by a Koszul regular sequence.
Comment: 16 pages, comments are welcome
Comment: 16 pages, comments are welcome
Externí odkaz:
http://arxiv.org/abs/1712.07836
Autor:
Boix, Alberto F., Zarzuela, Santiago
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 ideal) can be only principally generated or infinitely generated as al
Externí odkaz:
http://arxiv.org/abs/1608.07493
In this paper we work with several divisors of a module $E \subseteq G \simeq R^{e}$ having rank $e$, such as the classical Fitting ideals of $E$ and of $G/E$, and the more recently introduced (generic) Bourbaki ideals $I(E)$ (A. Simis, B. Ulrich, an
Externí odkaz:
http://arxiv.org/abs/1207.1060
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 or infinitely generated. As a consequence we are able to show that the
Externí odkaz:
http://arxiv.org/abs/1106.5686
Given a one-dimensional Cohen-Macaulay local ring we compare several sets of invariants (micro-invariants, Apery invariants and invariants of the tangent cone) and give explicit formulas relating them. We show that, in fact, they coincide if and only
Externí odkaz:
http://arxiv.org/abs/0912.4651
We study the class of equimultiple modules. In particular, we prove several criteria for an equimultiple module to be a complete intersection and prove the openness of the equimultiple locus of an ideal module.
Comment: 26 pages
Comment: 26 pages
Externí odkaz:
http://arxiv.org/abs/0708.2225
Foa a given local ring, we study the fiber cone of ideals with analytic spread one. In this case, the fiber cone has a strucure as a module over its Noether normalization which is a polynomial ring in one variable over the residue field. One may then
Externí odkaz:
http://arxiv.org/abs/math/0603042