Singular intersections of quadrics and cusp forms

Nuno Arala (University of Warwick)

Wednesday 15th May 16:00-17:00 Maths 110

Abstract

We establish an asymptotic formula for the number of common zeros of a pair of quadratic forms in at least 10 variables that determine a projective variety with exactly two singular points, defined over an imaginary quadratic field. The proof uses a form of the circle method and relies on tools from the theory of cusp forms.

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