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

Abstract

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.

15 pages, to appear in Mathematical Research Letters

References in corpus (3)

• K-theoretic Hall algebras for quivers with potential
• Derived categories of Quot schemes of locally free quotients
• Categorical blow-up formula for Hilbert schemes of points

Cited by in corpus (3)

• Categorical blow-up formula for Hilbert schemes of points
• Flops and Hilbert schemes of space curve singularities
• Indecomposability of the bounded derived categories of Brill-Noether varieties