Time:15:00-16:00, June 26 2025
Venue:E4-233
Speaker:Yulin Cai, Hangzhou Innovation Institute of Beihang University
Title:Abstract divisorial spaces and arithmetic intersection on quasi-projective varieties
Abstract:We will introduce the notion of abstract divisorial spaces and their properties. Using this theory, we are able to define the arithmetic intersection of arithmetic nef compactified divisors on quasi-projective varieties over adelic curves. Next, we extend the arithmetic intersection to the relatively nef case following the similar idea of Burgos-Kramer. This is a joint work with Walter Gubler.