Geometric consistency of Manin's Conjecture

Brian Lehmann, Akash Kumar Sengupta, Sho Tanimoto

Published 2018-05-27Version 1

We propose an explicit description of the exceptional set in Manin's Conjecture. Our proposal includes the rational point contributions from any subvariety or cover with larger geometric invariants. We prove that this set is contained in a thin subset of rational points, verifying there is no counterexample to Manin's Conjecture which arises from incompatibility of geometric invariants.