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Appears in collection : Tropical Geometry

In tropical geometry, algebraic varieties are degenerated to certain polyhedral complexes called tropical varieties. In spite of the degeneration, many important properties can be read off a tropical variety, and thus tropical geometry allows the infusion of combinatorial methods involving convex geometry and polyhedral complexes into algebraic geometry. In these lectures, we will survey successful applications of combinatorial methods in algebraic geometry by means of tropical geometry

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