Tropical Geometry over Higher Dimensional Local Fields

Details Tropical Geometry over Higher Dimensional Local Fields Tropical Geometry over Higher Dimensional Local Fields

2011-05-30

arxiv.org/abs/1105.5873v2

Mathematics

Algebraic Geometry

17 pages, 1 figure, Typos fixed

Scientific paper

We introduce the tropicalization of closed subschemes of a torus defined over
a higher dimensional local field. We study the basic invariants of such
tropicalizations. This is a generalization of the results of Einslieder,
Kapranov, Lind, Speyer and Sturmfels to higher local fields.

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