From the 1 of 5 linked papers with an AI index.
4 papers
Geometry of regular semisimple Lusztig varieties
Patrick Brosnan, Jaehyun Hong, Donggun Lee
The paper investigates Lusztig varieties in flag manifolds for regular semisimple elements, proving they are normal, Cohen‑Macaulay, have rational singularities, and satisfy cohomo…
Chow and cohomology rings of moduli stacks of plane quartics
Kenneth Ascher, Donggun Lee
This paper studies the Chow and cohomology rings of the Hacking moduli stack of plane quartics. We construct a smooth proper Deligne--Mumford stack resol…
Automorphisms and deformations of regular semisimple Hessenberg varieties
Patrick Brosnan, Laura Escobar, Jaehyun Hong +4
We show that regular semisimple Hessenberg varieties can have moduli. To be precise, suppose is a regular semisimple Hessenberg variety of codimension in the flag variety $…
Characteristic polynomial of and log-concavity
Jinwon Choi, Young-Hoon Kiem, Donggun Lee
Motivated by Stanley's generalization of the chromatic polynomial of a graph to the chromatic symmetric function, we introduce the characteristic polynomial of a representation of…