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Mostrando ítems 11-20 de 20
Artículo
Continuous division of linear differential operators and faithful flatness of D∞X over DX
(Société Mathématique de France, 2004)
In these notes we prove the faithful flatness of the sheaf of infinite order linear differential operators over the sheaf of finite order linear differential operators on a complex analytic manifold. We give the ...
Artículo
L-functions of symmetric powers of the generalized Airy family of exponential sums
(2011-12)
This paper looks at the L-function of the kth symmetric power of the -sheaf Aif over the affine line associated to the generalized Airy family of exponential sums. Using ℓ-adic techniques, we compute the degree of this ...
Artículo
Katz-Radon transform of l-adic representations
(Duke University Press, 2012)
We prove a simple explicit formula for the local Katz-Radon transform of an l-adic representation of the Galois group of the fraction field of a strictly henselian discrete valuation ring with positive residual characteristic, ...
Artículo
Explicit local multiplicative convolution of ℓ-adic sheaves
(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 ...
Artículo
A rigid local system with monodromy group 2.J2
(Elsevier, 2019-05)
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 Hall-Janko sporadic group) in one of its two ...
Artículo
Purity of exponential sums on An, II
(De Gruyer, 2007-03)
We give a purity result for exponential sums of the type P x∈kn ψ(f(x)), where k is a finite field of characteristic p, ψ : k → C* is a non-trivial additive character and f ∈ k[x1, . . . , xn] is a polynomial whose highest ...
Artículo
Mesa Redonda «Investigación: Presente y Futuro», Granada, 6 de febrero de 2015
(Real Sociedad Matemática Española, 2015)
Artículo
Rationality of trace and norm L-functions
(Duke University Press, 2012-06-15)
For a given l-adic sheaf F on a commutative algebraic group G over a finite field k and an integer r ≥ 1 we define the r-th local norm Lfunction of F at a point t ∈ G(k) and prove its rationality. This function ...
Artículo
7o Congreso Europeo de Matemáticas
(Real Sociedad Matemática Española, 2016)
La séptima edición del Congreso Europeo de Matemáticas, evento que tiene lugar cada cuatro años bajo los auspicios de la Sociedad Matemática Europea, se celebró entre los pasados días 18 y 22 de julio en la sede de la ...
Artículo
Finite monodromy of some families of exponential sums
(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 ...