Pluricanonical system in positive characteristic

Abstract: Pluricanonical system plays an important role in the classification of varieties. Concerning this issue, abundance and effectivity are the two most important problems. To study the two problems, the key point is how to construct pluricanonical sections. There have been many methods to construct pluricanonical sections in characteristic zero. In this talk, we discuss pluricanonical systems on varieties in positive characteristic. We will summarize the recent progresses and explain how to adapt the techniques from characteristic zero to positive characteristic case.

Mathematics

Audience: researchers in the topic

ICCM 2020