Good degeneration of Quot-schemes and coherent systems

Details Good degeneration of Quot-schemes and coherent systems Good degeneration of Quot-schemes and coherent systems

2011-10-03

arxiv.org/abs/1110.0390v1

Mathematics

Algebraic Geometry

Scientific paper

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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