Browsing Artículos (Álgebra) by Title
Now showing items 93112 of 211

Improvements of the Weil bound for ArtinSchreier curves [Article]
(Springer, 201110)For the ArtinSchreier curve y q − y = f(x) defined over a finite field Fq of q elements, the celebrated Weil bound for the number of Fq r rational points can be sharp, especially in supersingular cases and when r is ...

Improving an algorithm to solve multiple simultaneous conjugacy problems in braid groups [Article]
(American Mathematical Society, 2005)There are recent cryptographic protocols that are based on Multiple Simultaneous Conjugacy Problems in braid groups. We improve an algorithm, due to Sang Jin Lee and Eonkyung Lee, to solve these problems, by applying a ...

Inequalities between Littlewood–Richardson coefficients [Article]
(Elsevier, 200605)We prove that a conjecture of Fomin, Fulton, Li, and Poon, associated to ordered pairs of partitions, holds for many infinite families of such pairs. We also show that the bounded height case can be reduced to checking ...

Integral points in rational polygons: a numerical semigroup approach [Article]
(Springer, 2016)In this paper we use an elementary approach by using numerical semigroups (specifically, those with two generators) to give a formula for the number of integral points inside a rightangled triangle with rational ...

Invariants and coinvariants of the symmetric group in noncommuting variables [Article]
(University of Toronto Press, 2008)We introduce a natural Hopf algebra structure on the space of noncommutative symmetric functions. The bases for this algebra are indexed by set partitions. We show that there exists a natural inclusion of the Hopf algebra ...

Irregular hypergeometric Dmodules [Article]
(E, 20100801)We study the irregularity of hypergeometric Dmodules 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 ...

Irregular modified AHypergeometric systems [Article]
(American Mathematical Society, 2015)A modified Ahypergeometric system is a system of differential equations for the function f(t w · x) where f(y) is a solution of an Ahypergeometric system in n variables and w is an n dimensional integer vector, which is ...

Ktheory of derivators revisited [Article]
(Mathematical Sciences Publishers, 2017)We define a Ktheory for pointed right derivators and show that it agrees with Waldhausen Ktheory in the case where the derivator arises from a good Waldhausen category. This Ktheory is not invariant under general ...

KatzRadon transform of ladic representations [Article]
(Duke University Press, 2012)We prove a simple explicit formula for the local KatzRadon transform of an ladic representation of the Galois group of the fraction field of a strictly henselian discrete valuation ring with positive residual characteristic, ...

Lfunctions of symmetric powers of the generalized Airy family of exponential sums [Article]
(201112)This paper looks at the Lfunction of the kth symmetric power of the sheaf Aif over the affine line associated to the generalized Airy family of exponential sums. Using ℓadic techniques, we compute the degree of this ...

La labor docente del profesor de matemáticas [Article]
(Sociedad Española de Matemática Aplicada, 2003) 
Large Galois images for Jacobian varieties of genus 3 curves [Article]
(Polish Academy of Sciences, Institute of Mathematics, 2016)Given a prime number ℓ ≥ 5, we construct an infinite family of threedimensional abelian varieties over Q such that, for any A/Q in the family, the Galois representation ρA,ℓ : GQ → GSp6 (Fℓ) attached to the ℓtorsion of ...

Le théorème de continuité de la division dans les anneaux d'opérateurs différentiels [Article]
(De Gruyter, 1998)In this paper we prove the continuity of WeierstrassHironaka division of finite order linear differential operators over a complex analytic manifold X with respect to the induced topology by a canonical one of Fréchet ...

Le théorème du symbole total d’un opérateur différentiel padique [Article]
(Consejo Superior de Investigaciones Científicas, 2010)Let X † be a smooth †scheme (in the sense of Meredith) over a complete discrete valuation ring (V,m) of unequal characteristics (0, p) and let D†X†/V be the sheaf of V linear endomorphisms of OX† whose reduction modulo ...

Linear nested Artin approximation theorem for algebraic power series [Article]
(Springer, 2018)We give an elementary proof of the nested Artin approximation Theorem for linear equations with algebraic power series coefficients. Moreover, for any Noetherian local subring of the ring of formal power series, we clarify ...

Local convolution of ladic sheaves on the torus [Article]
(Springer, 201308)For K and L two ladic perverse sheaves on the onedimensional torus Gm,k¯ over the algebraic closure of a finite field, we show that the local monodromies of their convolution K ∗ L at its points of nonsmoothness ...

Localization at hyperplane arrangements: combinatorics and Dmodules [Article]
(Elsevier, 20071015)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 ...

Locally quasihomogeneous free divisors are Koszul free [Article]
(MAIK Nauka/Interperiodica, 2002)Let X be a complex analytic manifold and D ⊂ X be a free divisor. If D is locally quasihomogeneous, then the logarithmic de Rham complex associated to D is quasiisomorphic to Rj∗(CX\D), which is a perverse sheaf. On the ...

Logarithmic cohomology of the complement of a plane curve [Article]
(Springer, 200203)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. CastroJiménez, D. Mond ...

Logarithmic differential operators and logarithmic de Rham complexes relative to a free divisor [Article]
(Elsevier, 1999)We prove a structure theorem for differential operators in the 0th term of the Vfiltration relative to a free divisor. manifold. As an application, we give a formula for the logarithmic de Rham complex with respect to a ...