Terne di quadrati consecutivi in un campo di Galois
Explicit formulae for the number of triplets of consecutive squares in a Galois field are given.
The Bauer Group of a Rational Surface.
The genus of curves over finite fields with many rational points.
The groups of points on abelian varieties over finite fields
Let A be an abelian variety with commutative endomorphism algebra over a finite field k. The k-isogeny class of A is uniquely determined by a Weil polynomial f A without multiple roots. We give a classification of the groups of k-rational points on varieties from this class in terms of Newton polygons of f A(1 − t).
The indecomposability of H*(G/B, L)
The Lefschetz trace formula for algebraic stacks.
The Modell-Weil groups of unirational quasi-elliptic surfaces in characteristic 3.
The moduli spaces of polarized abelian varieties.
The number of points on certain families of hypersurfaces over finite fields
The probability that a complete intersection is smooth
Given a smooth subscheme of a projective space over a finite field, we compute the probability that its intersection with a fixed number of hypersurface sections of large degree is smooth of the expected dimension. This generalizes the case of a single hypersurface, due to Poonen. We use this result to give a probabilistic model for the number of rational points of such a complete intersection. A somewhat surprising corollary is that the number of rational points on a random smooth intersection...
The product of linear forms in a field of series and the Riemann hypothesis for curves
The Shafarevich-Tate Conjecture for Pencils of Elliptic Curves on K3 Surfaces.
The Tate conjecture for ordinary K3 surfaces over finite fields.
The Uniform Position Principle for Curves in Characteristic p.
Trace and families of algebraic curves.
Transformation de Fourier, constantes d'équations fonctionnelles et conjecture de Weil
Transversal crystals of finite level
We extend Ogus’notion of -crystal and -span to the context of Berthelot’s crystals of level and we study the generalization of Ogus’theorem on the equivalence between -crystals and -spans of width less than .
Travaux de Laumon
Twisted exponential sums and Newton polyhedra.
Two theorems on de Rham cohomology