Algebra and Number Theory seminar

Speaker: Sho Tanimoto (Kumamoto)

Title: Thin exceptional sets in Manin’s Conjecture

Abstract: Manin’s Conjecture predicts the asymptotic formula for the counting function of rational points on a Fano variety after removing the contribution from an exceptional set. We propose a geometric construction of this exceptional set and prove that this is a thin set in sense of Serre. This is joint work with Brian Lehmann and Akash Sengupta.