ENGLISH

Tropical Algebraic Geometry

By Illia Itenberg , Grigory Mikhalkin , Eugenii Shustin (auth.)

Book information

Publisher
Birkhäuser Basel
Year
2009
ISBN
978-3-0346-0047-7, 978-3-0346-0048-4
DOI
10.1007/978-3-0346-0048-4
Language
english
Format
PDF
Filesize
1 MB (1147052 bytes)
Series
Oberwolfach Seminars 35
Edition
2
Pages
104\112
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Algebraic Geometry

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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