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Tesis Doctoral
Artículo
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Rectangular symmetries for coe cients of symmetric functions
(The Electronic Journal of Combinatorics, 2015-07-31)
We show that some of the main structural constants for symmetric functions (Littlewood-Richardson coe cients, Kronecker coe cients, plethysm coe cients, and the Kostka{Foulkes polynomials) share symmetries related to the ...
Tesis Doctoral
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Soluciones Gevrey de sistemas hipergeométricos
(2010)
Esta memoria versa sobre la irregularidad de los D-módulos hipergeométricos MA(β)(cf. Definición 3.1.3), introducidos p or Gelfand, Graev, Kapranov y Zelevinsky [GGZ87], [GZK89]. Nuestro estudio se basa principalmente en ...
Artículo
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Dualité et comparaison sur les complexes de de Rham logarithmiques par rapport aux diviseurs libres
(Association des Annales de l'Institut Fourier, 2005)
Let X be a complex analytic manifold and D \subset X a free divisor. Integrable logarithmic connections along D can be seen as locally free {\cal O}_X-modules endowed with a (left) module structure over the ring of logarithmic ...
Artículo
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Rings of differential operators as enveloping algebras of Hasse–Schmidt derivations
(Elsevier, 2020-01)
Let k be a commutative ring and A a commutative k-algebra. In this paper we introduce the notion of enveloping algebra of Hasse–Schmidt derivations of A over k and we prove that, under suitable smoothness hypotheses, the ...
Tesis Doctoral
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Ramificación de valoraciones de superficies algebroides
(1981)
Se construyen las valoraciones de un cuerpo de funciones heromorfas formales en dos variables y se estudia la ramificación de algunos tipos de ellas. Especial atención se dedica al estudio de las singularidades de superficies ...
Artículo
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Conservation of the noetherianity by perfect transcendental field extensions
(European Mathematical Society, 2003)
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.
Artículo
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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 ...
Ponencia
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Generating partial Hadamard matrices as solutions to a Constraint Satisfaction Problem characterizing cliques
(2017-07)
A procedure is described looking for partial Hadamard matrices, as cliques of a particular subgraph Gt of Ito’s Hadamard Graph Δ(4t) [9]. The key idea is translating the problem of extending a given clique Cm to a larger ...
Artículo
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Khovanov homotopy type, periodic links and localizations
(Springer, 2021)
Given an m-periodic link L ⊂ S3, we show that the Khovanov spectrum XL con structed by Lipshitz and Sarkar admits a group action. We relate the Borel cohomology of XL to the equivariant Khovanov homology of L constructed ...