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This article is an extended version of preprint math.AG/9902104. We find an explicit formula for the number of topologically different ramified coverings of a sphere by a genus g surface with only… Continue Reading
We introduce a stratification on the space of symplectic flags on the de Rham bundle of the universal principally polarized abelian variety in positive characteristic. We study its geometric… Continue Reading
Abstract The enumeration of points on (or off) the union of some linear or affine subspaces over a finite field is dealt with in combinatorics via the characteristic polynomial and in algebraic… Continue Reading
This article is concerned with developing a formalism for complexes of l-adic sheaves instead of just for the sheaves themselves as was done in [SGA5:Exp.V]. The need for such a generalisation has… Continue Reading
A power plant for the generation of electricity from the flow of water currents uses turbine wheels within nozzles submerged in the water current, anchored to the bottom of the water course, as for… Continue Reading