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Artículo
Continuous division of differential operators
(Association des Annales de l'Institut Fourier, 2001)
In this paper, we give a new proof of the continuity of division by differential operators with analytic coefficients, originally proved by Mebkhout and the second author. Our methods come from the proof of the Constant ...
Artículo
New presentations of surface braid groups
(World Scientific Publishing, 2001)
In this paper we give new presentations of the braid groups and the pure braid groups of a closed surface. We also give an algorithm to solve the word problem in these groups, using the given presentations.
Tesis Doctoral
Aspectos locales de singularidades de superficies superficies de Puiseux
(2001)
La memoria se articula en tres capítulos. En el primer capítulo se fijan definiciones y propiedades conocidas. Superficies algebroides, explosiones, divisor excepcional, cono tangente. Así mismo se prueban resultados ...
Artículo
El Año Mundial de las Matemáticas en Andalucía
(Federación Española de Profesores de Matemáticas, 2001-06)
Artículo
The regularity of a toric variety
(Elsevier, 2001-03-01)
We give a method for computing the degrees of the minimal syzygies of a toric variety by means of combinatorial techniques. Indeed, we complete the explicit description of the minimal free resolution of the associated ...
Artículo
On the dimension of discrete valuations of k ((X1, ..., Xn))
(Elsevier, 2001-07-01)
Let v be a rank-one discrete valuation of the field Kn=k((X1,…,Xn)). We know, after [1], that if n=2 then the dimension of v is 1 and if v is the usual order function over k((X1,…,Xn)) its dimension is n−1. In this paper ...
Tesis Doctoral
Álgebra y combinatoria de las singularidades
(2001)
La memoria titulada Algebra y Combinatoria de las Singularidades, dirigida por el Profesor José Luis Vicente Córdoba, contiene los resultados de una profunda reflexión sobre el papel de ciertos objetos combinatorios, así ...
Artículo
The Kronecker product of Schur functions indexed by two-row shapes or hook shapes
(Springer, 2001-09)
The Kronecker product of two Schur functions sµ and sν, denoted by sµ ∗ sν, is the Frobenius characteristic of the tensor product of the irreducible representations of the symmetric group corresponding to the partitions ...
Artículo
The analytic standard fan of a D-module
(Elsevier, 2001-10-24)
We extend to the analytic D-module case our results in the algebraic case, namely, we associate with any monogeneous module over the ring D of germs of linear differential operators at the origin of Cn, with holomorphic ...
Artículo
A computational approach to the D-module of meromorphic functions
(2001)
Let D be a divisor in Cn. We present methods to compare the D-module of the meromorphic functions O[∗D] to some natural approximations. We show how the analytic case can be treated with computations in the Weyl algebra.