Tropical algebraic geometry

Ilia Itenberg, Grigory Mikhalkin, Eugenii Shustin

Research output: Book/ReportBookpeer-review


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.
Original languageEnglish
Place of PublicationBasel
PublisherBirkhäuser Verlag Basel • Boston • Berlin
Number of pages103
ISBN (Electronic)3764383097, 3764383100, 9783764383091, 9783764383107
ISBN (Print)9783764383091, 3764383097
StatePublished - 2007

Publication series

NameOberwolfach Seminars
PublisherBirkhäuser Verlag, Basel

ULI Keywords

  • uli
  • Geometry, Algebraic
  • Algebraic geometry


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