Travaux de Dwork
Algebraic Solutions of Differential Equations (p-Curvature and the Hodge Filtration).
The divisor function over arithmetic progressions
The Congruences of Clausen- von Staudt and Kummer for Bernoulli-Hurwitz Numbers.
Estimates for Soto-Andrade sums.
Travaux de Laumon
On the differential equations satisfied by period matrices
Nilpotent connections and the monodromy theorem : applications of a result of Turrittin
Another Look at p-Adic L-Functions for Totally Real Fields.
On a certain class of exponential sums.
p-Adic L-Functions for CM Fields.
Galois Properties of Torsion Points on Abelian Varieties.
Factoring polynomials in finite fields: an application of Lang-Weil to a problem in graph theory.
Corrections to : “A conjecture in the arithmetic theory of differential equations”
A conjecture in the arithmetic theory of differential equations
Local-to-global extensions of representations of fundamental groups
Let be a field of characteristic , a proper, smooth, geometrically connected curve over , and 0 and two -rational points on . We show that any representation of the local Galois group at extends to a representation of the fundamental group of which is tamely ramified at 0, provided either that is separately closed or that is . In the latter case, we show there exists a unique such extension, called “canonical”, with the property that the image of the geometric fundamental group...
On the intersection matrix of a hypersurface
Internal reconstruction of unit-root -crystals via expansion-coefficients. With an appendix by Luc Illusie
Free Actions of Finite Groups on Varieties. II. (Erratum).
Free Actions of Finite Groups on Varieties. II.
Page 1 Next