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arXiv · 1110.0390

Good degeneration of Quot-schemes and coherent systems

Jun Li·Baosen Wu
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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.

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Jun Li, Baosen Wu. 2011-10-03. Good degeneration of Quot-schemes and coherent systems. https://arxiv.org/abs/1110.0390

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