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Project: Algebraic geometry. Applications in Algebra and number theory.

01-OCT-93 – 31-DEC-99

The project consists of research topics for which algebraic geometry is a basic tool. The specific topics are : - Geometry and cohomology of exponential sums. - Euler characteristics associated to an exceptional divisor. Applications to Igusa's localzeta function. - Isotropy of quadratic forms over function fields. - Subvarieties of projective varieties.