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Mostrando ítems 11-20 de 22
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 generalisation of the Phase Kick-Back
(Springer, 2023-03-13)
In this paper, we present a generalisation of the Phase Kick-Back technique, which is central to some of the classical algorithms in quantum computing. We will begin by recalling the Phase Kick-Back technique to then ...
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
The stability of the Kronecker products of Schur functions
(Elsevier, 2011-04-01)
In the late 1930’s Murnaghan discovered the existence of a stabilization phenomenon for the Kronecker product of Schur functions. For n sufficiently large, the values of the Kronecker coefficients appearing in the product ...
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.
Artículo
Combinatorics of syzygies for semigroup algebras
(Universitat de Barcelona, 1998)
We describe how the graded minimal resolution of certain semigroup algebras is related to the combinatorics of some simplicial complexes. We obtain characterizations of the Cohen-Macaulay and Gorenstein conditions. The ...
Artículo
Computational methods in algebra and analysis
(Sociedad Española de Matemática Aplicada, 2007-09)
This paper describes some applications of Computer Algebra to Algebraic Analysis also known as D-module theory, i.e. the algebraic study of the systems of linear partial differential equations. Gröbner bases for rings ...
Artículo
Irregular hypergeometric D-modules
(E, 2010-08-01)
We study the irregularity of hypergeometric D-modules MA(β) via the explicit construction of Gevrey series solutions along coordinate subspaces in X = C n. As a consequence, we prove that along coordinate hyperplanes the ...
Artículo
Gevrey solutions of the irregular hypergeometric system associated with an affine monomial curve
(American Mathematical Society, 2011)
We describe the Gevrey series solutions at singular points of the irregular hypergeometric system (GKZ system) associated with an affine monomial curve. We also describe the irregularity complex of such a system with respect ...