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math.AG2016★ 4 cited
Spaces of Sums of Powers and Real Rank Boundaries
Mateusz Michałek, Hyunsuk Moon
We investigate properties of Waring decompositions of real homogeneous forms. We study the moduli of real decompositions, so-called Space of Sums of Powers, naturally included in t…
math.AG2016
Real Rank Geometry of Ternary Forms
Mateusz Michałek, Hyunsuk Moon, Bernd Sturmfels +1
We study real ternary forms whose real rank equals the generic complex rank, and we characterize the semialgebraic set of sums of powers representations with that rank. Complete re…