9 citations · 14 across the 6 of their papers we have counts for
5 papers · 1 filter
On the rank index of some quadratic varieties
Hyunsuk Moon, Euisung Park
Regarding the generating structure of the homogeneous ideal of a projective variety , we define the rank index of to be the smallest integer such th…
A new bound for the Real Waring rank of monomials
Kangjin Han, Hyunsuk Moon
In this paper we consider the Waring rank of monomials over the real and the rational numbers. We give a new upper bound for it by establishing a way in which one can take a struct…
Rank 3 Quadratic Generators of Veronese Embeddings
Kangjin Han, Wanseok Lee, Hyunsuk Moon +1
Let be a very ample line bundle on a projective scheme defined over an algebraically closed field with . We say that satisfies prop…
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…
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…