Project Details
Projekt
Effective global generation for uniformized varieties (A09)
Subject Area
Mathematics
Term
since 2021
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 444845124
The main goal of our project is to study the effective positivity of line bundles on varieties with special topology. The main focus will lie on non-vanishing and global generation of line bundles, following the conjectures of Kawamata and Fujita. We will start investigating special cases such as ball quotients and varieties with finite morphisms to abelian varieties. We will search for useful half-uniformizations, motivated by recent work on the Shafa¬revich conjecture and the situation for abelian varieties and smooth curves.
DFG Programme
CRC/Transregios
Applicant Institution
Goethe-Universität Frankfurt am Main
Project Heads
Professor Dr. Alex Küronya; Professor Dr. Jakob Stix
