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Mostrando ítems 1-10 de 13
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
Bases for Projective modules in An(k)
(2003-12)
Let $A_n(k)$ be the Weyl algebra, with $k$ a field of characteristic zero. It is known that every projective finitely generated left module is free or isomorphic to a left ideal. Let $M$ be a left submodule of a free module. ...
Artículo
Localization at hyperplane arrangements: combinatorics and D-modules
(Elsevier, 2007-10-15)
We describe an algorithm deciding if the annihilating ideal of the meromorphic function 1 f , where f = 0 defines an arrangement of hyperplanes, is generated by linear differential operators of order 1. The algorithm is ...
Artículo
Reduced Kronecker coefficients and counter-examples to Mulmuley's strong saturation conjecture SH
(Springer, 2009-12)
We provide counter–examples to Mulmuley’s strong saturation conjecture (strong SH) for the Kronecker coefficients. This conjecture was proposed in the setting of Geometric Complexity Theory to show that deciding whether ...
Artículo
Minimal resolutions of lattice ideals and integer linear programming
(European Mathematical Society, 2003)
A combinatorial description of the minimal free resolution of a lattice ideal allows us to the connection of Integer Linear Programming and Algebra. The non null reduced homology spaces of some simplicial complexes are ...
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
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
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
Equimultiple locus of embedded algebroid surfaces and blowing-up in characteristic zero
(Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 2004)
The smooth equimultiple locus of embedded algebroid surfaces appears naturally in many resolution process, both classical and modern.In this paper we explore how it changes by blowing–up.