A guide to tropicalizations

Details A guide to tropicalizations A guide to tropicalizations

2011-08-31

arxiv.org/abs/1108.6126v2

Mathematics

Algebraic Geometry

54 pages, 1 figure. Some typos removed. Old Section 11 rewritten, expanded and split up into new Sections 11 and 12. A new Sec

Scientific paper

Tropicalizations form a bridge between algebraic and convex geometry. We
generalize basic results from tropical geometry which are well-known for
special ground fields to arbitrary non-archimedean valued fields. To achieve
this, we develop a theory of toric schemes over valuation rings of rank 1. As a
basic tool, we use techniques from non-archimedean analysis.

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