Good degeneration of Quot-schemes and coherent systems

Abstract

We construct good degenerations of Quot-schemes and coherent systems using the stack of expanded degenerations. We show that these good degenerations are separated and proper DM stacks of finite type. Applying to the projective threefolds, we derive degeneration formulas for DT-invariants of ideal sheaves and PT stable pair invariants.

Cited by in corpus (4)

• The Katz-Klemm-Vafa conjecture for K3 surfaces
• Universal polynomials for singular curves on surfaces
• Extremal Bundles on Calabi-Yau Threefolds
• Notes on the proof of the KKV conjecture