English

Tropical Geometry over Higher Dimensional Local Fields

Algebraic Geometry 2012-02-02 v2

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.

Keywords

Cite

@article{arxiv.1105.5873,
  title  = {Tropical Geometry over Higher Dimensional Local Fields},
  author = {S. Banerjee},
  journal= {arXiv preprint arXiv:1105.5873},
  year   = {2012}
}

Comments

17 pages, 1 figure, Typos fixed

R2 v1 2026-06-21T18:14:23.233Z