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Artículo
The symmetric action on secondary homotopy groups
(The Belgian Mathematical Society, 2008-11)
We show that the symmetric track groups Sym(n), which are extensions of the symmetric groups Sym(n) associated to the second Stiefel-Whitney class, act as crossed modules on the secondary homotopy groups of a pointed space.
Artículo
Equimultiple locus of embedded algebroid surfaces and blowing-up in arbitrary characteristic
(Chinese Academy of Sciences, 2009-12)
This paper extends previous results of the authors, concerning the behaviour of the equimultiple locus of algebroid surfaces under blowing–up, to arbitrary characteristic.
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
Linearity conditions on the Jacobian ideal and logarithmic--meromorphic comparison for free divisors
(Cornell University, 2008-04-14)
In this paper we survey the role of D-module theory in the comparison between logarithmic and meromorphic de Rham complexes of integrable logarithmic connections with respect to free divisors, and we present some new ...
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
Representation theory of some infinite-dimensional algebras arising in continuously controlled algebra and topology
(Springer, 2004)
In this paper we determine the representation type of some algebras of infinite matrices continuously controlled at infinity by a compact metrizable space. We explicitly classify their finitely presented modules in the ...
Artículo
On the cycling operation in braid groups
(Elsevier, 2008-09-06)
The cycling operation is a special kind of conjugation that can be applied to elements in Artin’s braid groups, in order to reduce their length. It is a key ingredient of the usual solutions to the conjugacy problem in ...
Artículo
The 1-type of a Waldhausen K-theory spectrum
(Elsevier, 2007-12-01)
We give a small functorial algebraic model for the 2-stage Postnikov section of the K-theory spectrum of a Waldhausen category and use our presentation to describe the multiplicative structure with respect to biexact functors.
Capítulo de Libro
Nouvelle Cuisine for the Computation of the Annihilating Ideal of $f^s$
(2005)
Let $f_1,\ldots, f_p$ be polynomials in ${\bf C}[x_1,\ldots, x_n]$ and let $D = D_n$ be the $n$-th Weyl algebra. The annihilating ideal of $f^s=f_1^{s_1}\cdots f_p^{s_p}$ in $D[s]=D[s_1,\ldots,s_p]$ is a necessary step ...
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 ...