Tropical plane geometric constructions: a transfer technique in Tropical Geometry
نویسندگان
چکیده
منابع مشابه
Tropical Plane Geometric Constructions: a Transfer Technique in Tropical Geometry
The notion of geometric construction is introduced. This notion allows to compare incidence configurations in the algebraic and tropical plane. We provide an algorithm such that, given a tropical instance of a geometric construction, it computes sufficient conditions to have an algebraic counterpart related by tropicalization. We also provide sufficient conditions in a geometric construction to...
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1 The Algebraic Torus and M Let K denote a field of characteristic zero and K∗ denote the associated multiplicative group. A character on (K∗)n is a monomial in the associated Laurent polynomial ring with coefficient 1. For example, (K∗)2 has coordinate ring K[x±1, y±1] and characters on (K∗)2 are of the form xy for i, j ∈ Z. (K∗)n is called the algebraic n-torus. First we must describe functio...
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ژورنال
عنوان ژورنال: Revista Matemática Iberoamericana
سال: 2011
ISSN: 0213-2230
DOI: 10.4171/rmi/633