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Geometric height inequalities and the Kodaira—Spencer map

Published online by Cambridge University Press:  04 December 2007

MINHYONG KIM
MINHYONG KIM
Affiliation:
Department of Mathematics, Columbia University, New York, NY 10027 Department of Mathematics, University of Arizona, Tucson, AZ 85721
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Abstract

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We extend a result of Vojta on height inequalities for algebraic points on curves over function fields to include the case of positive characteristic. The main tool used is the Kodaira—Spencer map and destabilizing flags for vector bundles on curves.

Keywords

curvesfunction fieldsheightsdestabilizing flag
Type
Research Article
Information
Compositio Mathematica , Volume 105 , Issue 1 , January 1997 , pp. 43 - 54
Copyright
© 1997 Kluwer Academic Publishers