On potential density of integral points on the complement of some subvarieties in the projective space.

開催日時
2024/07/12 金 13:30 - 14:30
場所
3号館552号室
講演者
寺西基也
講演者所属
京大数学教室
概要

In Diophantine geometry, determining the abundance of integral and rational points is a crucial topic. We have studied "$S$-integral points," which are intermediate between integral and rational points, and have proven that certain Zariski open sets in $\mathbb{P}^n$ are abundant in $S$-integral points in the sense of "potential density". In this talk, we will explain this result with an introduction to the theory of potential density of $S$-integral points.