Baker-Sprindzhuk conjectures for complex analytic manifolds

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We show a large class of analytic submanifolds of C^n to be strongly extremal. This generalizes V. Sprindzhuk's solution of the complex case of Mahler's Problem, and settles complex analogues of conjectures made in the 1970s by Baker and Sprindzhuk. The proof is based on a variation of quantitative nondivergence estimates for quasi-polynomial flows on the space of lattices.
Preprint, 12 pages

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Number Theory, Dynamical Systems, 11J83

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http://salesiana.dossiersoluciones.com/handle/123456789/65413

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0210369
 http://arxiv.org/abs/math/0210369
 Algebraic groups and arithmetic, 539-553, TIFR, Mumbai, 2004.

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arXiv