Effectivity in the Hyperbolicity-related problems
Algebraic Geometry
2016-06-14 v1 Complex Variables
Abstract
The aim of this work is to deal with effective questions related to the Kobayashi and Debarre conjectures, and based on the work of Damian Brotbek and Lionel Darondeau. We first show that if a line bundle generates -jets, the -th Wronskian ideal sheaf associated with global sections of reaches its largest possible value. Then we obtain an effective estimate for a weaker version of a theorem of Nakamaye on certain universal Grassmannians. We finally derive from this explicit effective bounds for the Kobayashi and Debarre conjectures.
Cite
@article{arxiv.1606.03831,
title = {Effectivity in the Hyperbolicity-related problems},
author = {Ya Deng},
journal= {arXiv preprint arXiv:1606.03831},
year = {2016}
}