Baker-Sprindzhuk conjectures for complex analytic manifolds

Details Baker-Sprindzhuk conjectures for complex analytic manifolds Baker-Sprindzhuk conjectures for complex analytic manifolds

2002-10-23

arxiv.org/abs/math/0210369v1

Algebraic groups and arithmetic, 539-553, TIFR, Mumbai, 2004.

Mathematics

Number Theory

Preprint, 12 pages

Scientific paper

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.

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