Tropical geometry over higher dimensional local fields

Soumya D. Banerjee

doi:10.1515/crelle-2012-0124

Tropical geometry over higher dimensional local fields

Soumya D. Banerjee

Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

We introduce the tropicalization of closed sub-schemes of a torus defined over a higher dimensional local field. We study the basic invariants of such tropicalizations. This is a generalization of the fundamental theorem of tropical geometry to higher dimensional local fields.

Original language	English
Pages (from-to)	71-87
Number of pages	17
Journal	Journal fur die Reine und Angewandte Mathematik
Issue number	698
DOIs	https://doi.org/10.1515/crelle-2012-0124
State	Published - Jan 1 2015

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title = "Tropical geometry over higher dimensional local fields",

abstract = "We introduce the tropicalization of closed sub-schemes of a torus defined over a higher dimensional local field. We study the basic invariants of such tropicalizations. This is a generalization of the fundamental theorem of tropical geometry to higher dimensional local fields.",

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N2 - We introduce the tropicalization of closed sub-schemes of a torus defined over a higher dimensional local field. We study the basic invariants of such tropicalizations. This is a generalization of the fundamental theorem of tropical geometry to higher dimensional local fields.

AB - We introduce the tropicalization of closed sub-schemes of a torus defined over a higher dimensional local field. We study the basic invariants of such tropicalizations. This is a generalization of the fundamental theorem of tropical geometry to higher dimensional local fields.

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DO - 10.1515/crelle-2012-0124

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JO - Journal fur die Reine und Angewandte Mathematik

JF - Journal fur die Reine und Angewandte Mathematik

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Tropical geometry over higher dimensional local fields

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