Toric and tropical compactifications of hyperplane complements
Graham Denham · Annales de la faculté des sciences de Toulouse Mathématiques · 2014
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.