Infinitely many primes of basic reduction

Abstract: In 1987, Elkies proved that an elliptic curve defined over the field of rational numbers has infinitely many primes of supersingular reduction. I will discuss a generalization of this result to the case of special cyclic covers of the projective line ramified at 4 points. This talk is based on joint work in progress with Wanlin Li, Rachel Pries and Yunqing Tang.

commutative algebraalgebraic geometrynumber theory

Audience: researchers in the topic

Recent Advances in Modern p-Adic Geometry (RAMpAGe)

Series comments: The Zoom Meeting ID is: 995 3670 1681. The password for the series is: *The first three-digit prime*. Please visit the external homepage for notes and videos from past talks.