Now showing items 51-70 of 209

• #### Decomposing Jacobians of curves over finite fields in the absence of algebraic structure ﻿ [Article]

(Elsevier, 2015-11)
We consider the issue of when the L-polynomial of one curve over Fq divides the L-polynomial of another curve. We prove a theorem which shows that divisibility follows from a hypothesis that two curves have the same number ...
• #### Dual Garside structure and reducibility of braids ﻿ [Article]

(Elsevier, 2012-04-15)
Benardete, Gutierrez and Nitecki showed an important result which relates the geometrical properties of a braid, as a homeomorphism of the punctured disk, to its algebraic Garside-theoretical properties. Namely, they showed ...
• #### Dualité et comparaison sur les complexes de de Rham logarithmiques par rapport aux diviseurs libres ﻿ [Article]

(Association des Annales de l'Institut Fourier, 2005)
Let X be a complex analytic manifold and D \subset X a free divisor. Integrable logarithmic connections along D can be seen as locally free {\cal O}_X-modules endowed with a (left) module structure over the ring of logarithmic ...
• #### Dwyer-Kan homotopy theory of enriched categories ﻿ [Article]

(London Mathematical Society, 2015)
We construct a model structure on the category of small categories enriched over a combinatorial closed symmetric monoidal model category satisfying the monoid axiom. Weak equivalences are Dwyer–Kan equivalences, i.e. ...
• #### En recuerdo de Alexander Grothendieck: prólogo para una lectura de su vida y obra ﻿ [Article]

En este artículo repasamos algunas de las claves de las contribuciones matemáticas de Alexander Grothendieck y del contexto en el que se gestaron, y nos asomamos así a la vida y obra de una de las figuras más influyentes ...
• #### Encoding algebraic power series ﻿ [Article]

(Springer, 2017)
The division algorithm for ideals of algebraic power series satisfying Hironaka’s box condition is shown to be finite when expressed suitably in terms of the defining polynomial codes of the series. In particular, the codes ...
• #### Entrevista a Isabel Fernández, conferenciante invitada al ICM 2010 ﻿ [Article]

Isabel Fernández, de la Universidad de Sevilla, es conferenciante invitada junto con Pablo Mira (Universidad Politécnica de Cartagena) a la sección de Geometría del próximo ICM, que se celebrará en agosto en Hyderabad ...
• #### Equimultiple locus of embedded algebroid surfaces and blowing-up in arbitrary characteristic ﻿ [Article]

This paper extends previous results of the authors, concerning the behaviour of the equimultiple locus of algebroid surfaces under blowing–up, to arbitrary characteristic.
• #### Equimultiple locus of embedded algebroid surfaces and blowing-up in characteristic zero ﻿ [Article]

(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.
• #### Estimates for exponential sums with a large automorphism group ﻿ [Article]

(American Mathematical Society, 2012)
We prove some improvements of the classical Weil bound for one variable additive and multiplicative character sums associated to a polynomial over a finite field k = Fq for two classes of polynomials which are invariant ...
• #### Estimates for singular multiplicative character sums ﻿ [Article]

(Duke University Press, 2005)
We give some estimates for multiplicative character sums on quasiprojective varieties over finite fields depending on the severity of the singularities of the variety at infinity. We also remove the hypothesis of ...
• #### Exact cost minimization of a series-parallel reliable system with multiple component choices using an algebraic method ﻿ [Article]

(2013-11)
The redundancy allocation problem is formulated minimizing the design cost for a series-parallel system with multiple component choices while ensuring a given system reliability level. The obtained model is a nonlinear ...
• #### Explicit calculations in rings of differential operators ﻿ [Article]

(Société Mathématique de France, 2004)
We use the notion of a standard basis to study algebras of linear differential operators and finite type modules over these algebras. We consider the polynomial and the holomorphic cases as well as the formal case. Our ...
• #### Explicit local multiplicative convolution of ℓ-adic sheaves ﻿ [Article]

(European Mathematical Society, 2018)
We give explicit formulas for the local multiplicative convolution functors, which express the local monodromies of the convolution of two ℓ-adic sheaves on the torus Gm over the algebraic closure of a finite field in terms ...
• #### Explicit models for perverse sheaves ﻿ [Article]

(European Mathematical Society, 2003)
We consider categories of generalized perverse sheaves, with relaxed constructibility conditions, by means of the process of gluing t-structures and we exhibit explicit abelian categories defined in terms of standard sheaves ...
• #### Exponential growth of rank jumps for A-hypergeometric systems ﻿ [Article]

(European Mathematical Society, 2013)
The dimension of the space of holomorphic solutions at nonsingular points (also called the holonomic rank) of a A–hypergeometric system MA(β) is known to be bounded above by 22d vol(A) [SST00], where d is the rank of ...
• #### Extending a valuation centered in a local domain to the formal completion ﻿ [Article]

(London Mathematical Society, 2012-09)
Let (R; m; k) be a local noetherian domain with field of fractions K and R_v a valuation ring, dominating R (not necessarily birationally). Let v|K be the restriction of v to K; by definition, v|K is centered at R. Let ...
• #### Fast algorithmic Nielsen-Thurston classification of four-strand braids ﻿ [Article]

(World Scientific Publishing, 2012-04)
We give an algorithm which decides the Nielsen-Thurston type of a given four-strand braid. The complexity of our algorithm is quadratic with respect to word length. The proof of its validity is based on a result which ...
• #### Fast Nielsen-Thurston classification of braids ﻿ [Article]

(Mathematical Sciences Publishers, 2014)
We prove the existence of an algorithm that solves the reducibility problem in braid groups and runs in quadratic time with respect to the braid length for any fixed braid index.
• #### Finite monodromy of some families of exponential sums ﻿ [Article]

(Elsevier, 2019-04)
Given a prime p and an integer d > 1, we give a numerical criterion to decide whether the ℓ-adic sheaf associated to the one-parameter exponential sums t 7→P x ψ(xd + tx) over Fp has finite monodromy or not, and work ...