Geometry in the tropical limit

Details Geometry in the tropical limit Geometry in the tropical limit

2011-08-15

arxiv.org/abs/1108.3111v2

Mathematics

Algebraic Geometry

Expanded version of a contribution to the Max-Planck-Society Jahrbuch 2011

Scientific paper

Complex algebraic varieties become easy piecewise-linear objects after
passing to the so-called tropical limit. Geometry of these limiting objects is
known as tropical geometry. In this short survey we take a look at motivation
and intuition behind this limit and consider a few simple examples of
correspondence principle between classical and tropical geometries.

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