paper

Amibes de Sommes d'Exponentielles

arXiv:math/0401150 · doi:10.4153/CJM-2008-010-5

Abstract

We study the amoebae (in S. Favorov's sense) of finite systems of exponential sums with real spectra. For generic systems of this type, we give a more effective representation of the amoeba and we prove that the complementary set to the amoeba of a system with r exponential sums is a (r-1)-convexe set.

23 pages. New and enlarges version

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