2 papers
math.KT2026
On the Hermitian K-theory of Grassmannians
Sunny Sood, Chunkai Xu
We compute the -spectrum (Karoubi--Grothendieck--Witt spectrum) of Grassmannians over divisorial schemes defined over fields of characteristic zero, and, as a corollar…
math.AG2026
Stronger Bogomolov--Gieseker type inequality on quintic threefold
Chunkai Xu
We establish a stronger Bogomolov--Gieseker type inequality for slope-semistable sheaves on the smooth quintic threefold. Our approach combines a refined restriction theorem for ti…