Baker-Sprindzhuk conjectures for complex analytic manifolds
Dmitry Kleinbock
Abstract
We show a large class of analytic submanifolds of Cn 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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