Abstract

We call a holomorphic function f on a domain in Cn locally toral at the point P in the n-torus if the intersection of the zero set of f with the n-torus has dimension n−1 at P. We study the interplay between the structure of locally toral functions and the geometry of their zero sets.

Disciplines

Mathematics

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Journal's Homepage: http://nyjm.albany.edu.

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Mathematics Commons

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URL: http://digitalcommons.calpoly.edu/math_fac/15