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Project: Arithmetic and algebraic geometry: Applications in Algebra and Number Theory.

01-JAN-02 – 31-DEC-04

Galois representations associated to t-motives: the action of inertia at good reduction, Tate-uniformization. Moduli of curves in positive characteristic: stratification of moduli with automorphisms, equivariant deformation of non-ordinary curves. Diophantine problems: field invariants, relation between diophantine sets and the arithmetic of abelian varieties. Algebraic geometry: Blowings-up associated with linear systems and morphisms of vectorbundles, Gauss maps, affine spaces of m x n matrices, linear systems of blowings-up.