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Toric and tropical compactifications of hyperplane complements

Graham Denham — 2014

Annales de la faculté des sciences de Toulouse Mathématiques

These lecture notes survey and compare various compactifications of complex hyperplane arrangement complements. In particular, we review the Gel ' fand-MacPherson construction, Kapranov’s visible contours compactification, and De Concini and Procesi’s wonderful compactification. We explain how these constructions are unified by some ideas from the modern origins of tropical geometry.

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