Geometry in the tropical limit

Abstract

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.

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

References in corpus (2)

• The Maslov dequantization, idempotent and tropical mathematics: A brief introduction
• Thermodynamics and the moment map