4 papers
W-translated Schubert divisors and transversal intersections
DongSeon Hwang, Hwayoung Lee, Jae-Hyouk Lee +1
We study the toric degeneration of Weyl group translated Schubert divisors of a partial flag variety of Lie type A via Gelfand-Cetlin polytopes. We propose a conjecture that Schube…
On a certain generalization of triangle singularities
Kenji Hashimoto, Hwayoung Lee, Kazushi Ueda
Triangle singularities are Fuchsian singularities associated with von Dyck groups, which are index two subgroups of Schwarz triangle groups. Hypersurface triangle singularities are…
Wall-crossings for Twisted Quiver Bundles
Bumsig Kim, Hwayoung Lee
Given a double quiver, we study homological algebra of twisted quiver sheaves with the moment map relation using the short exact sequence of Crawley-Boevey, Holland, Gothen, and Ki…
The Full Flag Hilbert Scheme of Nodal Curves and the Punctual Hilbert Scheme of Points of the Cusp Curve
Hwayoung Lee
In this paper, we show the full flag Hilbert scheme of points of nodal curves has only complete intersection singularities. We study the Hilbert scheme of points of the cusp curve…