Local Geometry of Zero Sets of Holomorphic Functions Nears the TorusNew York Journal of Mathematics
AbstractWe 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.
Copyright2008 Mark Stankus.
Citation InformationJim Agler, John E. McCarthy and Mark Stankus. "Local Geometry of Zero Sets of Holomorphic Functions Nears the Torus" New York Journal of Mathematics Vol. 14 (2008) p. 517 - 538
Available at: http://works.bepress.com/mstankus/1/