Tropical Algebraic Geometry (Oberwolfach Seminars, #35)

by Ilia Itenberg, Grigory Mikhalkin, and Eugenii Shustin

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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.
  • ISBN10 303460131X
  • ISBN13 9783034601313
  • Publish Date 14 July 2009 (first published 16 February 2007)
  • Publish Status Withdrawn
  • Out of Print 18 October 2014
  • Publish Country US
  • Imprint Birkhauser Basel
  • Edition 2nd ed.
  • Format Paperback (US Trade)
  • Pages 116
  • Language English