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Tropical algebraic geometry. (English) Zbl 1162.14300
Oberwolfach Seminars 35. Basel: Birkhäuser (ISBN 978-3-7643-8309-1/pbk). viii, 103 p. (2007).
Publisher’s description: These notes present a polished 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 notes are based on a seminar at the Mathematical Research Center in Oberwolfach in October 2004. The intended audience is graduate, post-graduate, and Ph.D. students as well as established researchers in mathematics.
For a review, cf. the 2nd edition [Basel: Birkhäuser (2009; Zbl 1165.14002)].

14-02 Research exposition (monographs, survey articles) pertaining to algebraic geometry
14M25 Toric varieties, Newton polyhedra, Okounkov bodies
14N10 Enumerative problems (combinatorial problems) in algebraic geometry
52B20 Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry)
14P25 Topology of real algebraic varieties
14H99 Curves in algebraic geometry