A geometric generalization of the square sieve with an application to cyclic covers over global function fields

Abstract: We formulate a geometric generalization of the square sieve and use it to study the number of points of bounded height on a prime degree cyclic cover of the n-th projective space over $\mathbb{F}_q(T)$. This is joint work with Alina Bucur, Matilde N. Lalin, and Lillian B. Pierce

algebraic geometrynumber theory

Audience: researchers in the topic

Algebraic Geometry and Number Theory seminar - ISTA