Local Tropical Variety

Mathematics – Algebraic Geometry

Scientific paper

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13 pages, 1 figures

Scientific paper

The tropical variety of an ideal was introduced by D.Speyer and B.Sturmfels.
In this paper, we will give an analogous definition of local tropical varieties
and prove analogous theorems in the formal power series ring. We will also
discuss about relations between the local Groebner fan and local tropical
variety.

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