Add to ORKGGiven 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 out some explicit cases where this is computable.Ministerio de Economía y CompetitividadFondo Europeo de Desarrollo Regiona
AbstractAn abelian variety over a field K is said to have big monodromy, if the image of the Galois ...
We use generalizations of the Borel–Dwork criterion to prove variants of the Grothedieck–Katz p-curv...
We give explicit formulas for the local multiplicative convolution functors, which express the local...
We provide an effective version of Katz' criterion for finiteness of the monodromy group of a lisse,...
AbstractIn this paper we compute geometric monodromy groups of additive exponential sums over BbbAn....
For K and L two l-adic perverse sheaves on the one-dimensional torus Gm,k¯ over the algebraic closur...
We combine two of Igusa's conjectures with recent semi-continuity results by Musta\c{t}\u{a} and Pop...
We prove some improvements of the classical Weil bound for one variable additive and multiplicative...
For a given l-adic sheaf F on a commutative algebraic group G over a finite field k and an integer ...
In the first part, we introduce a new condition, called toric-additivity, on a family of abelian var...
On quadrics in large positive characteristic we construct an exceptional collection of sheaves from ...
We use recent results about linking the number of zeros on algebraic varieties over $\mathbb{C}$, de...
The main theme of this thesis is the study of compatible systems of $\ell$-adic Galoi...
AbstractWe are describing Lamé differential operators with a full set of algebraic solutions. For ea...
We find all irreducible hypergeometric sheaves whose geometric monodromy group is finite, almost qua...
AbstractAn abelian variety over a field K is said to have big monodromy, if the image of the Galois ...
We use generalizations of the Borel–Dwork criterion to prove variants of the Grothedieck–Katz p-curv...
We give explicit formulas for the local multiplicative convolution functors, which express the local...
We provide an effective version of Katz' criterion for finiteness of the monodromy group of a lisse,...
AbstractIn this paper we compute geometric monodromy groups of additive exponential sums over BbbAn....
For K and L two l-adic perverse sheaves on the one-dimensional torus Gm,k¯ over the algebraic closur...
We combine two of Igusa's conjectures with recent semi-continuity results by Musta\c{t}\u{a} and Pop...
We prove some improvements of the classical Weil bound for one variable additive and multiplicative...
For a given l-adic sheaf F on a commutative algebraic group G over a finite field k and an integer ...
In the first part, we introduce a new condition, called toric-additivity, on a family of abelian var...
On quadrics in large positive characteristic we construct an exceptional collection of sheaves from ...
We use recent results about linking the number of zeros on algebraic varieties over $\mathbb{C}$, de...
The main theme of this thesis is the study of compatible systems of $\ell$-adic Galoi...
AbstractWe are describing Lamé differential operators with a full set of algebraic solutions. For ea...
We find all irreducible hypergeometric sheaves whose geometric monodromy group is finite, almost qua...
AbstractAn abelian variety over a field K is said to have big monodromy, if the image of the Galois ...
We use generalizations of the Borel–Dwork criterion to prove variants of the Grothedieck–Katz p-curv...
We give explicit formulas for the local multiplicative convolution functors, which express the local...