Jet differentials on toroidal compactifications of ball quotients
Algebraic Geometry
2019-06-07 v2
Abstract
We give explicit estimates for the volume of the Green-Griffiths jet differentials of any order on a toroidal compactification of a ball quotient. To this end, we first determine the growth of the logarithmic Green-Griffiths jet differentials on these objects, using a natural deformation of the logarithmic jet space of a given order, to a suitable weighted projective bundle. Then, we estimate the growth of the vanishing conditions that a logarithmic jet differential must satisfy over the boundary to be a standard one.
Keywords
Cite
@article{arxiv.1707.07875,
title = {Jet differentials on toroidal compactifications of ball quotients},
author = {Benoit Cadorel},
journal= {arXiv preprint arXiv:1707.07875},
year = {2019}
}
Comments
In press