2 citations · 3 across the 4 of their papers we have counts for
4 papers
A construction of multiplicity class of hypersurfaces from Hesselink stratification of a Hilbert scheme
Cheolgyu Lee
It is well-known that there is a positive relationship between the maximal multiplicity and the length of the associated virtual 1-parameter subgroup of a projective hypersurface.…
Instability and Singularity of Projective Hypersurfaces
Cheolgyu Lee
In this paper, we will show that the Hesselink stratification of a Hilbert scheme of hypersurfaces is independent of the choice of Plücker coordinate and there is a positive relati…
Algebraic Equations in State Condition
Cheolgyu Lee
In this paper, we will prove that a problem deciding whether there is an upper-triangular coordinate in which a character is not in the state of a Hilbert point is NP-hard. This pr…
Worst Unstable Points of a Hilbert Scheme
Cheolgyu Lee
In this paper, we describe the worst unstable points of a Hilbert scheme for some special Hilbert polynomials and ambient spaces using Murai's work on Gotzmann monomial sets. We in…