ENGLISH

Tropical Algebraic Geometry

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

Book information

Publisher
Birkhäuser Basel
Year
2009
ISBN
3764383097, 978-3-7643-8309-1, 9783764383107, 3764383100
DOI
10.1007/978-3-0346-0048-4
Open Library ID
OL9091179M
Language
english
Format
PDF
Filesize
1 MB (1465626 bytes)
Series
Oberwolfach Seminars 35
Edition
2
Pages
104\111
Library
mexmat
Time added
2009-07-20 03:45:11
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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