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math.OC2010★ 23 cited
Dualities in Convex Algebraic Geometry
Philipp Rostalski, Bernd Sturmfels
Convex algebraic geometry concerns the interplay between optimization theory and real algebraic geometry. Its objects of study include convex semialgebraic sets that arise in semid…
math.AG2010
The Convex Hull of a Variety
Kristian Ranestad, Bernd Sturmfels
We present a characterization, in terms of projective biduality, for the hypersurfaces appearing in the boundary of the convex hull of a compact real algebraic variety.
math.AG2010
Mustafin Varieties
Dustin Cartwright, Mathias Häbich, Bernd Sturmfels +1
A Mustafin variety is a degeneration of projective space induced by a point configuration in a Bruhat-Tits building. The special fiber is reduced and Cohen-Macaulay, and its irredu…