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Local Geometry of Zero Sets of Holomorphic Functions Nears the Torus

Jim Agler, University of California - San Diego
John E. McCarthy, Washington University in St Louis
Mark Stankus, California Polytechnic State University - San Luis Obispo

Article comments

Copyright © 2008 Mark Stankus. Journal's Homepage: http://nyjm.albany.edu.

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.

Suggested Citation

Jim Agler, John E. McCarthy, and Mark Stankus. "Local Geometry of Zero Sets of Holomorphic Functions Nears the Torus" New York Journal of Mathematics 14 (2008): 517-538.
Available at: http://works.bepress.com/mstankus/1