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arXiv · 1707.07875

Jet differentials on toroidal compactifications of ball quotients

Benoit Cadorel
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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.

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Benoit Cadorel. 2017-07-25. Jet differentials on toroidal compactifications of ball quotients. https://arxiv.org/abs/1707.07875

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