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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. $ 29.95; EUR 19.90/net; SFR 32.90 (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)].

MSC:
14-02Research monographs (algebraic geometry)
14M25Toric varieties, Newton polyhedra
14N10Enumerative problems (algebraic geometry)
52B20Lattice polytopes (convex geometry)
14P25Topology of real algebraic varieties
14H99Algebraic curves