Mathematical Research Letters

Volume 30 (2023)

Number 1

Derived categories of Quot schemes of locally free quotients via categorified Hall products

Pages: 239 – 265



Yukinobu Toda (Kavli Institute for the Physics and Mathematics of the Universe, University of Tokyo, Kashiwa, Japan)


We prove Qingyuan Jiang’s conjecture on semiorthogonal decompositions of derived categories of Quot schemes of locally free quotients. The author’s result on categorified Hall products for Grassmannian flips is applied to prove the conjecture.

The author is supported by World Premier International Research Center Initiative (WPI initiative), MEXT, Japan, and Grant-in Aid for Scientific Research grant (No. 19H01779) from MEXT, Japan.

Received 25 January 2022

Received revised 25 September 2022

Accepted 9 November 2022

Published 21 June 2023