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Jim Agler, John E. McCarthy, and Mark Stankus
Local geometry of zero sets of holomorphic functions near the torus
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| Published: |
October 10, 2008 |
| Keywords: |
Toral polynomial; locally toral; sidal; locally sidal |
| Subject: |
14J989, 32B99 |
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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.
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| Acknowledgements
The first author was partially supported by National Science Foundation Grant DMS 0400826
The second author was partially supported by National Science Foundation Grant DMS 0501079
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| Author information
Jim Agler:
U.C. San Diego, La Jolla, CA 92093
jagler@ucsd.edu
John E. McCarthy:
Washington University, St. Louis, MO 63130
mccarthy@math.wustl.edu
Mark Stankus:
California Polytechnic State University, San Luis Obispo, CA 93407
mstankus@calpoly.edu
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