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The moduli stack of stable relative ideal sheaves

Baosen Wu
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Abstract

In this paper, we propose a definition of the moduli stack of stable relative ideal sheaves, and prove that it is a separated and proper Deligne-Mumford stack. It is the first part of the project of relative Donaldson-Thomas theory of ideal sheaves on projective threefolds, which in the end provides a degeneration formula of Donaldson-Thomas invariants of threefolds.

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Baosen Wu. 2007-01-02. The moduli stack of stable relative ideal sheaves. https://arxiv.org/abs/math/0701074

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