Research-Arithmetic Fujita approximation over adelic curves

Research

Number Theory Seminar

Arithmetic Fujita approximation over adelic curves

Abstract

Fujita approximation is an approximative version of Zariski decomposition of pseudo-effective divisors. More precisely, it says that a power of a big line bundle can be decomposed as the sum of an ample and an effective line bundle under a birational morphism, where the volume of this big line bundle can be approximated by that of the ample one in some sense. An arithmetic analogue over number fields was proved by H. Chen and X. Yuan. In this talk, I will introduce a generalization under the framework of Arakelov geometry over adelic curves.