30 citations · 91 across the 38 of their papers we have counts for
7 papers · 1 filter
On the two-dimensional Jacobian conjecture: Magnus' formula revisited, IV
Kyungyong Lee, Li Li
Let be a Jacobian pair with and for some direction . A generalized Magnus' formula approximates as $\sum_{γ\ge 0} c_γF^{\frac…
On the two-dimensional Jacobian conjecture: Magnus' formula revisited, I
William E. Hurst, Kyungyong Lee, Li Li +1
Let be an algebraically closed field of characteristic 0. When the Jacobian $({\partial f}/{\partial x})({\partial g}/{\partial y}) - ({\partial g}/{\partial x})({\partial f}/{…
The singularities of the principal component of the Hilbert scheme of points
Kyungyong Lee
We show that the principal component of the Hilbert scheme of 9 points in C^8 is not Cohen-Macaulay.
Syzygies of multiplier ideals on singular varieties
Robert Lazarsfeld, Kyungyong Lee, Karen E. Smith
It was recently established by the first two authors that multiplier ideals on a smooth variety satisfy some special syzygetic properties. The purpose of this note is to show how s…
Characteristic 2 approach to bivariate interpolation problems
Kyungyong Lee
We investigate bivariate interpolation problems in characteristic 2. Given a nonnegative integer , we describe all the sub-linear systems generated by monomials, in which there…
On the symmetric subscheme of Hilbert scheme of points
Kyungyong Lee
We consider the Hilbert scheme Hilb^{d+1}(C^d) of (d+1) points in affine d-space C^d (d > 2), which includes the square of any maximal ideal. We describe equations for the most sym…