Local Geometry of Zero Sets of Holomorphic Functions Nears the Torus
Copyright © 2008 Mark Stankus. Journal's Homepage: http://nyjm.albany.edu.
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.
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