Campana points, Height zeta functions, and log Manin’s conjecture

Abstract: Manin’s conjecture predicts the asymptotic formula for the counting function of rational points of bounded height on smooth Fano varieties. There is also some study on Manin’s conjecture for integral points, however several subtleties prevent a general formulation of log Manin’s conjecture for integral points. Campana and Abramovich introduced the notion of Campana points which interpolates between rational points and integral points, and Pieropan, Smeets, Varilly-Alvarado and the author proposed a formulation of log Manin’s conjecture for Campana points. In this talk, I will discuss this conjecture and an approach to it using the height zeta function.

number theory

Audience: researchers in the topic

Japan Europe Number Theory Exchange Seminar

Series comments: The purpose of the Japan Europe Number Theory Exchange Seminar is to give a opportunity for researchers in Japan and Europe to exchange their research projects by giving short talks (30 min). The target audience are researchers of any level in the area of number theory.

Start for Fall 2021: 26th October