Brief introduction to tropical geometry

20 Feb 2015  ·  Brugallé Erwan, Itenberg Ilia, Mikhalkin Grigory, Shaw Kristin ·

The paper consists of lecture notes for a mini-course given by the authors at the G\"okova Geometry \& Topology conference in May 2014. We start the exposition with tropical curves in the plane and their applications to problems in classical enumerative geometry, and continue with a look at more general tropical varieties and their homology theories...

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Algebraic Geometry Combinatorics