Browsing Artículos (Álgebra) by Title
Now showing items 221 of 211

A combinatorial overview of the Hopf algebra of MacMahon symmetric functions [Article]
(Springer, 200211)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 ...

A complete diophantine characterization of the rational torsion of an elliptic curve [Article]
(Springer, 201201)We give a complete characterization for the rational torsion of an elliptic curve in terms of the (non–)existence of integral solutions of a system of diophantine equations.

A computational approach to the Dmodule of meromorphic functions [Article]
(2001)Let D be a divisor in Cn. We present methods to compare the Dmodule of the meromorphic functions O[∗D] to some natural approximations. We show how the analytic case can be treated with computations in the Weyl algebra.

A duality approach to the symmetry of BernsteinSato polynomials of free divisors [Article]
(Elsevier, 20150820)In this paper we prove that the BernsteinSato polynomial of any free divisor for which the D[s]module D[s]h s admits a Spencer logarithmic resolution satisfies the symmetry property b(−s−2) = ±b(s). This applies in ...

A fast solution to the conjugacy problem in the fourstrand braid group [Article]
(De Gruyter, 201409)We present an algorithm for solving the conjugacy search problem in the fourstrand braid group. The computational complexity is cubic with respect to the braid length.

A flatness property for filtered Dmodules [Article]
(European Mathematical Society, 2007)Let M be a coherent module over the ring DX of linear differential operators on an analytic manifold X and let Z1, · · · , Zk be k germs of transverse hypersurfaces at a point x ∈ X. The MalgrangeKashiwara Vfiltrations ...

A geometric characterization of the upper bound for the span of the Jones polynomial [Article]
(World Scientific, 201107)Let D be a link diagram with n crossings, sA and sB its extreme states and sAD (resp. sBD) the number of simple closed curves that appear when smoothing D according to sA (resp. sB). We give a general formula for the ...

A geometric description of the extreme Khovanov cohomology [Article]
(Cambridge University Press, 201806)We prove that the hypothetical extreme Khovanov cohomology of a link is the cohomology of the independence simplicial complex of its Lando graph. We also provide a family of knots having as many nontrivial extreme Khovanov ...

A note on Ktheory and triangulated derivators [Article]
(Elsevier, 20110801)In this paper we show an example of two differential graded algebras that have the same derivator Ktheory but nonisomorphic Waldhausen Ktheory. We also prove that Maltsiniotis’s comparison and localization conjectures ...

A rigid local system with monodromy group 2.J2 [Article]
(Elsevier, 201905)We exhibit a rigid local system of rank six on the affine line in characteristic p = 5 whose arithmetic and geometric monodromy groups are the finite group 2.J2 (J2 the HallJanko sporadic group) in one of its two ...

Abelian varieties over number fields, tame ramification and big Galois image [Article]
(International Press, 2013)Given a natural number n ≥ 1 and a number field K, we show the existence of an integer ℓ0 such that for any prime number ℓ ≥ ℓ0, there exists a finite extension F/K, unramified in all places above ℓ, together with a ...

Acylindrical hyperbolicity and ArtinTits groups of spherical type [Article]
(Springer, 2017)We prove that, for any irreducible ArtinTits group of spherical type G, the quotient of G by its center is acylindrically hyperbolic. This is achieved by studying the additional length graph associated to the classical ...

AlexanderConway polynomial state model and link homology [Article]
(World Scientific Publishing, 201603)This paper shows how the Formal Knot Theory state model for the AlexanderConway polynomial is related to Knot Floer Homology. In particular we prove a parity result about the states in this model that clarifies certain ...

Algebraic computation of some intersection Dmodules [Article]
(Springer, 2006)Let X be a complex analytic manifold, D ⊂ X a locally quasihomogeneous free divisor, E an integrable logarithmic connection with respect to D and L the local system of the horizontal sections of E on X − D. In this ...

Algorithmic Invariants for Alexander Modules [Chapter of Book]
(2006)Let $G$ be a group given by generators and relations. It is possible to compute a presentation matrix of a module over a ring through Fox's differential calculus. We show how to use Gröbner bases as an algorithmic tool ...

An algebraic approach to Integer Portfolio problems [Article]
(20110501)Integer variables allow the treatment of some portfolio optimization problems in a more realistic way and introduce the possibility of adding some natural features to the model. We propose an algebraic approach to ...

An improved test set approach to nonlinear integer problems with applications to engineering design [Article]
(Springer, 201511)Many problems in engineering design involve the use of nonlinearities and some integer variables. Methods based on test sets have been proposed to solve some particular problems with integer variables, but they have not ...

El Año Mundial de las Matemáticas en Andalucía [Article]
(Federación Española de Profesores de Matemáticas, 200106) 
Arithmetic motivic Poincaré series of toric varieties [Article]
(Mathematical Sciences Publishers, 2013)The arithmetic motivic Poincaré series of a variety V defined over a field of characteristic zero is an invariant of singularities that was introduced by Denef and Loeser by analogy with the Serre–Oesterlé series in ...

Álgebra computacional y programación entera no lineal [Article]
(Real Sociedad Matemática Española, 2016)