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A defect relation for meromorphic maps on generalized p-parabolic manifolds intersecting hypersurfaces in complex projective algebraic varieties

Part of: Probabilistic theory: distribution modulo $1$; metric theory of algorithms Complex manifolds Holomorphic mappings and correspondences

Published online by Cambridge University Press:  21 March 2013

Qi Han
Qi Han*
Affiliation:
Department of Mathematics, The University of Houston, Houston, TX 77204-3008, USA (kylinhan@math.uh.edu)
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Abstract

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We establish a defect relation for algebraically non-degenerate meromorphic maps over generalized p-parabolic manifolds that intersect hypersurfaces in smooth projective algebraic varieties, extending certain results of H. Cartan, L. Ahlfors, W. Stoll, M. Ru, P. M. Wong and Philip P. W. Wong and others.

Keywords

generalized p-parabolic manifoldsprojective algebraic varietiesmeromorphic mapsalgebraic non-degeneratedefect relationChow weight and Hilbert weight

MSC classification

Secondary: 32H30: Value distribution theory in higher dimensions 11K60: Diophantine approximation 32Q15: Kähler manifolds
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 56 , Issue 2 , June 2013 , pp. 551 - 574
Copyright
Copyright © Edinburgh Mathematical Society 2013

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