Non-archimedean amoebas and tropical varieties
نویسندگان
چکیده
منابع مشابه
Non-archimedean Amoebas and Tropical Varieties
We study the non-archimedean counterpart to the complex amoeba of an algebraic variety, and show that it coincides with a polyhedral set defined by Bieri and Groves using valuations. For hypersurfaces this set is also the tropical variety of the defining polynomial. Using non-archimedean analysis and a recent result of Conrad we prove that the amoeba of an irreducible variety is connected. We i...
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ژورنال
عنوان ژورنال: Journal für die reine und angewandte Mathematik (Crelles Journal)
سال: 2006
ISSN: 0075-4102,1435-5345
DOI: 10.1515/crelle.2006.097