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.