Tropical Geometry over Higher Dimensional Local Fields

Published 30 May 2011 in math.AG | (1105.5873v2)

Abstract: 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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S. Banerjee

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