21 citations · 46 across the 22 of their papers we have counts for
22 papers
Hierarchical structure of graded Betti numbers in the quadratic strand
Jong In Han, Sijong Kwak, Wanseok Lee
The classical results, initiated by Castelnuovo and Fano and later refined by Eisenbud and Harris, provide several upper bounds on the number of quadrics defining a nondegenerate p…
Characterization of projective varieties beyond varieties of minimal degree and del Pezzo varieties
Jong In Han, Sijong Kwak, Euisung Park
Varieties of minimal degree and del Pezzo varieties are basic objects in projective algebraic geometry. Those varieties have been characterized and classified for a long time in ma…
Syzygies of secant varieties of smooth projective curves and gonality sequences
Junho Choe, Sijong Kwak, Jinhyung Park
The purpose of this paper is to prove that one can read off the gonality sequence of a smooth projective curve from syzygies of secant varieties of the curve embedded by a line bun…
Surface counterexamples to the Eisenbud-Goto conjecture
Jong In Han, Sijong Kwak
It is well known that the Eisenbud-Goto regularity conjecture is true for arithmetically Cohen-Macaulay varieties, projective curves, smooth surfaces, smooth threefolds in $\mathbb…
Determinantal characterization of higher secant varieties of minimal degree
Junho Choe, Sijong Kwak
A variety of minimal degree is one of the basic objects in projective algebraic geometry and has been classified and characterized in many aspects. On the other hand, there are als…
A matryoshka structure of higher secant varieties and the generalized Bronowski's conjecture
Junho Choe, Sijong Kwak
In projective algebraic geometry, there are classical and fundamental results that describe the structure of geometry and syzygies, and many of them characterize varieties of minim…