Tropical Algebraic Geometry

5a0c3c2b37843.jpg Author Eugenii Shustin, Grigory Mikhalkin, and Ilia Itenberg
Isbn 9783764383091
File size 2.1MB
Year 2007
Pages 103
Language English
File format PDF
Category Mathematics

Book Description:

Tropical geometry is algebraic geometry over the semifield of tropical numbers, i.e., the real numbers and negative infinity enhanced with the (max, +)-arithmetics. Geometrically, tropical varieties are much simpler than their classical counterparts. Yet they carry information about complex and real varieties.

These notes present an introduction to tropical geometry and contain some applications of this rapidly developing and attractive subject. It consists of three chapters which complete each other and give a possibility for non-specialists to make the first steps in the subject which is not yet well represented in the literature. The intended audience is graduate, post-graduate, and Ph.D. students as well as established researchers in mathematics.

 

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