Abstract
We show that, to some extent, the behavior of an entire function of several complex variables is reflected by its behavior on algebraic subvarieties.
Funding Statement
Research supported in part by NSERC (Canada).
Acknowledgments
This study was inspired by a question posed by Heisuke Hironaka, when the second author spoke in the Séminaire François Norguet in Paris [4]. The results of the present paper were announced by the second author at the conference: Michigan Computational Algebraic Geometry, 2012, held at Oakland University. The authors, during the time of the conference, learned that the idea of tracing functions along subvarieties has also arisen in the numerical solution of systems of polynomials [9].
Citation
F. Donzelli. P. M. Gauthier. "TRACES OF ENTIRE FUNCTIONS ON ALGEBRAIC SUBVARIETIES." Albanian J. Math. 6 (2) 51 - 62, 2012. https://doi.org/10.51286/albjm/1349935247
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