Bernstein’s theorem in affine space |
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| Authors: | B Huber B Sturmfels |
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| Institution: | (1) Department of Mathematics, Cornell University, 14853 Ithaca, NY, USA;(2) Department of Mathematics, University of California, 94720 Berkeley, CA, USA |
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| Abstract: | The stable mixed volume of the Newton polytopes of a polynomial system is defined and shown to equal (genetically) the number
of zeros in affine space Cn. This result refines earlier bounds by Rojas, Li, and Wang 5], 7], 8]. The homotopies in 4], 9], and 10] extend naturally
to a computation of all isolated zeros in Cn
This research was supported by the David and Lucile Packard Foundation and the National Science Foundation. |
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