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Published on Department of Mathematics (http://www.math.ohio-state.edu)

The Oka-Grauert-Principle for holomorphic jet bundles with applications to hyperbolic geometry

By dwu
Created Mar 12 2008 - 11:07am
Mar 25 2008 - 2:30pm
Mar 25 2008 - 3:30pm
Pit-Mann Wong
University of Notre Dame
DU 0016
The main purpose is to investigate the size of the base locus of the bundle of jet differentials over projective varieties of "general type". The main techniques are (1) a Schwarz Lemma of for jet differentials and (2) a "moving Lemma" for holomorphic liftings of entire holomorphic curves $f : \mathbf{C} \to M$. These reults are obtained via the Oka-Grauert-Principle for holomorphic jet bundles. The information on the size of the base locus will be used to establish results in hyperbolic geometry.
Attached here is a brief outline of P.-M. Wong's talk. Whomever would like to take an advance look are welcome to it.
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LectureAtOSU.pdf [1]160.96 KB
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LectureAtOSU.pdf [2]160.96 KB

Source URL:
http://www.math.ohio-state.edu/node/28876