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Mostrando ítems 101-109 de 109
Artículo
Gröbner δ-bases and Gröbner bases for differential operators
(Polish Academy of Sciences, Institute of Mathematics, 2002)
This paper deals with the notion of Gr¨obner δ-base for some rings of linear differential operators by adapting the works of W. Trinks, A. Assi, M. Insa and F. Pauer. We compare this notion with the one of Gröbner base for ...
Artículo
The local duality theorem in D-module theory
(Société Mathématique de France, 2004)
These notes are devoted to the Local Duality Theorem for D-modules, which asserts that the topological Grothendieck-Verdier duality exchanges the de Rham complex and the solution complex of holonomic modules over a complex ...
Artículo
Hasse-Schmidt derivations and coefficient fields in positive characteristics
(Elsevier, 2003-07-01)
We show how to express any Hasse-Schmidt derivation of an algebra in terms of a finite number of them under natural hypothesis. As an application, we obtain coefficient fields of the completion of a regular local ring of ...
Artículo
Valuations in fields of power series
(European Mathematical Society, 2003)
This paper deals with valuations of fields of formal meromorphic functions and their residue fields. We explicitly describe the residue fields of the monomial valuations. We also classify all the discrete rank one valuations ...
Artículo
MacMahon symmetric functions, the partition lattice, and young subgroups
(Elsevier, 2001-11)
A MacMahon symmetric function is a formal power series in a finite number of alphabets that is invariant under the diagonal action of the symmetric group. In this article, we show that the MacMahon symmetric functions are ...
Artículo
Rank one discrete valuations of power series fields
(Taylor & Francis, 2007)
In this paper we study rank one discrete valuations of the field k((X1, . . . , Xn)) whose center in k[[X1, . . . , Xn]] is the maximal ideal. In sections 2 to 6 we give a construction of a system of parametric equations ...
Artículo
The nth root of a braid is unique up to conjugacy
(Mathematical Sciences Publishers, 2003-11-01)
We prove a conjecture due to Makanin: if α and β are elements of the Artin braid group Bn such that α k = β k for some nonzero integer k, then α and β are conjugate. The proof involves the Nielsen-Thurston classification ...
Artículo
Free divisors and duality for D-modules
(Pleiades, 2002)
The relationship between D-modules and free divisors has been studied in a general setting by L. Narváez and F.J. Calderón. Using the ideas of these works we prove in this article a duality formula between two D-modules ...
Tesis Doctoral
Categorías de descenso simplicial
(2007-12-19)