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Artículo
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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 ...
Artículo
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A flatness property for filtered D-modules
(European Mathematical Society, 2007)
Let M be a coherent module over the ring DX of linear differential operators on an analytic manifold X and let Z1, · · · , Zk be k germs of transverse hypersurfaces at a point x ∈ X. The Malgrange-Kashiwara V-filtrations ...
Artículo
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Some geometric aspects of Puiseux surfaces
(European Mathematical Society, 2003)
The following problem is treated: Characterizing the tangent cone and the equimultiple locus of a Puiseux surface (that is, an algebroid embedded surface admitting an equation whose roots are Puiseux power series), using ...
Capítulo de Libro
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Sudokus and Gröbner Bases: not only a Divertimento
(2006)
Sudoku is a logic-based placement puzzle. We recall how to translate this puzzle into a 9-colouring problem which is equivalent to a (big) algebraic system of polynomial equations. We study how far Gröbner bases techniques ...
Artículo
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Symmetric functions in noncommuting variables
(American Mathematical Society, 2006)
Consider the algebra Qhhx1, x2, . . .ii of formal power series in countably many noncommuting variables over the rationals. The subalgebra Π(x1, x2, . . .) of symmetric functions in noncommuting variables consists of all ...
Tesis Doctoral
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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 ...
Tesis Doctoral
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Derivaciones de Hasse-Schmidt, cuerpos de coeficientes y extensión de escalares en característica positiva
(2002-03-08)
Una de las diferencias más notables entre el Álgebra de característica positiva y el Álgebra de característica cero radica en el comportamiento respecto de los métodos, operaciones y estructuras diferenciales. Por ejemplo, ...
Artículo
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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
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On the singular braid monoid of an orientable surface
(American Mathematical Society, 2004)
In this paper we show that the singular braid monoid of an orientable surface can be embedded in a group. The proof is purely topological, making no use of the monoid presentation.
Artículo
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Smash products for secondary homotopy groups
(Springer, 2008-10)
We construct a smash product operation on secondary homotopy groups yielding the structure of a lax symmetric monoidal functor. Applications on cup-one products, Toda brackets and Whitehead products are considered.