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Mostrando ítems 1-10 de 13
Artículo
Computing the rational torsion of an elliptic curve using Tate normal form
(Elsevier, 2002-09)
It is a classical result (apparently due to Tate) that all elliptic curves with a torsion point of order n (4 ≤ n ≤ 10, or n = 12) lie in a oneparameter family. However, this fact does not appear to have been used ever for ...
Artículo
The module Dfs for locally quasi-homogeneous free divisors
(Springer, 2002-10)
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 quasi-homogeneous free divisor. These results are based on the fact that every locally quasi-homogeneous ...
Artículo
Ordering pure braid groups on compact, connected surfaces
(University of California, 2002-04)
We prove that the pure braid groups on compact, connected, orientable surfaces are bi-orderable, and that the pure braid groups on compact, connected non-orientable surfaces have generalized torsion, thus they are not ...
Tesis Doctoral
Métodos efectivos en anillos de operadores diferenciales y en sistemas hipergeométricos
(2002)
El Análisis Algebraico, o teoría de D-m&oa cute;dulos, trata el estudio de los sistemas de ecuaciones -- en derivadas parciales desde el punto de vista del álgebra y la geometría. Esta teoría generalizada la teoría clásica ...
Artículo
Locally quasi-homogeneous free divisors are Koszul free
(MAIK Nauka/Interperiodica, 2002)
Let X be a complex analytic manifold and D ⊂ X be a free divisor. If D is locally quasi-homogeneous, then the logarithmic de Rham complex associated to D is quasi-isomorphic to Rj∗(CX\D), which is a perverse sheaf. On the ...
Artículo
Constructions in R[x_1, ..., x_n]. Applications to K-Theory
(2002-06-25)
A classical result in K-Theory about polynomial rings like the Quillen-Suslin theorem admits an algorithmic approach when the ring of coefficients has some computational properties, associated with Gröbner bases. There ...
Artículo
A combinatorial overview of the Hopf algebra of MacMahon symmetric functions
(Springer, 2002-11)
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 give a combinatorial overview of the Hopf algebra ...
Tesis Doctoral
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
Logarithmic cohomology of the complement of a plane curve
(Springer, 2002-03)
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 only if D is quasihomogeneous. This is a partial converse to a theorem of F.J. Castro-Jiménez, D. Mond ...
Artículo
Presentations for the monoids of singular braids on closed surfaces
(Taylor & Francis, 2002)
We give presentations, in terms of generators and relations, for the monoids SBn(M) of singular braids on closed surfaces. The proof of the validity of these presentations can also be applied to verify, in a new way, the ...