We consider the Hodge filtration on the sheaf of meromorphic functions along free divisors for which the logarithmic ...

The main aim of this work is to present as precisely as possible the results obtained by B. Malgrange in his article “Le ...

The Bernstein-Sato polynomial or the b-function is an important invariant in singularity theory. It is closely related to ...

We prove that any multi-variate Hasse–Schmidt derivation can be decomposed in terms of substitution maps and uni-variate ...

In this paper we revisit Ribenboim's notion of higher derivations of modules and relate it to the recent work of De Fernex ...

El objetivo principal de este trabajo es introducirse en el uso de técnicas algebraicas y topológicas modernas, como el ...

The Bernstein-Sato polynomial or the 푏-function is an important invariant in singular theory. It is closely related to di ...

In this paper we survey the notion and basic results on multivariate Hasse–Schmidt derivations over arbitrary commutative ...

Let k be a commutative ring and A a commutative k-algebra. In this paper we introduce the notion of enveloping algebra of ...

We introduce tautological systems defined by prehomogeneous actions of reductive algebraic groups. If the complement of ...

Sea k un anillo conmutativo. Los módulos de las k-derivaciones m-integrables (en el sentido de Hasse-Schmidt) de una ...

Eliptic curves are mathematical objects that have interesting analytic, arithmetic and algebraic properties, though we’ll ...

We study the action of substitution maps between power series rings as an additional algebraic structure on the groups of Hasse–Schmidt derivations. This structure appears as a counterpart of the module structure on classical derivations.

The main purpose of the Theory of Representations of finite groups is the description and classification the different ...

En la semana del lunes 11 al viernes 15 de diciembre de 2017 se llevó a cabo en Buenos Aires el Primer Encuentro Conjunto ...

The study of systems of linear differential equations is, since its inception during the XV IIth century, a core and rich ...

En este artículo repasamos algunas de las claves de las contribuciones matemáticas de Alexander Grothendieck y del contexto ...

La creación de la teoría de haces en plena Segunda Guerra Mundial, unida a su difusión en los años inmediatamente posteriores, ...

In this paper we prove that the Bernstein-Sato polynomial of any free divisor for which the D[s]-module D[s]h s admits a ...

Una familia de Dwork es una deformación monomial uniparamétrica de una hipersuperficie de Fermat. Debido a su conexión con ...

Let k be a commutative ring and A a commutative k-algebra. Given a positive integer m, or m = ∞, we say that a k-linear ...

Let X † be a smooth †-scheme (in the sense of Meredith) over a complete discrete valuation ring (V,m) of unequal characteristics ...

Let X be a complex analytic manifold, D ⊂ X a free divisor with jacobian ideal of linear type (e.g. a locally quasi-homogeneous ...

Let k be a commutative ring, A a commutative k-algebra and D the filtered ring of k-linear differential operators of A. ...

In this paper we survey the role of D-module theory in the comparison between logarithmic and meromorphic de Rham complexes ...

Let X be a complex analytic manifold, D ⊂ X a locally quasi-homogeneous free divisor, E an integrable logarithmic connection ...

Let k be a perfect field of positive characteristic, k(t)per the perfect closure of k(t) and A = k[[X1, . . . , Xn]]. We ...

Let X be a complex analytic manifold and D \subset X a free divisor. Integrable logarithmic connections along D can be ...

In these notes we prove the faithful flatness of the sheaf of infinite order linear differential operators over the sheaf ...

These notes are devoted to the Local Duality Theorem for D-modules, which asserts that the topological Grothendieck-Verdier ...

We show how to express any Hasse-Schmidt derivation of an algebra in terms of a finite number of them under natural ...

We consider categories of generalized perverse sheaves, with relaxed constructibility conditions, by means of the process ...

Let k be a perfect field of characteristic p>0, k(t)per the perfect closure of k(t) and A a k-algebra. We characterize whether the ring A⊗kk(t)per is noetherian when A is the ring of formal power series in n indeterminates over k.

We find explicit free resolutions for the D-modules Dfs and D[s]fs/D[s]f s+1, where f is a reduced equation of a locally ...

Una de las diferencias más notables entre el Álgebra de característica positiva y el Álgebra de característica cero radica ...

Let D, x be a plane curve germ. We prove that the complex Ω•(log D)x computes the cohomology of the complement of D, x ...

Let X be a complex analytic manifold and D ⊂ X be a free divisor. If D is locally quasi-homogeneous, then the logarithmic ...

In this paper, we give a new proof of the continuity of division by differential operators with analytic coefficients, ...

"En el presenta trabajo abordamos la cuestión anterior de la descripción de las categorías de haces perversos desde un ...

In this paper we prove the continuity of Weierstrass-Hironaka division of finite order linear differential operators over ...

En esta memoria estudiamos la V-filtración relativa a divisores libres en una variedad analítica compleja lisa de dimensión ...

We prove that if D is a "strongly quasihomogeneous" free divi- sor in the Stein manifold X, and U is its complement, then ...

En esta memoria, damos una descripción explícita de los sistemas holónomos regulares y de los haces perversos (cf. I.3.10 ...