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arXiv · 2512.08678

Moduli space of complete stable pairs

Baosen Wu
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Abstract

We define complete stable pairs on a smooth projective variety, and construct their moduli space. These moduli spaces have natural morphisms to the moduli of stable pairs and Quot-schemes. As an example, we show that the moduli of complete stable pairs on $\mathbb P^1$ is an iterated blowing-up of the moduli of stable pairs, similar to the construction of the space of complete collineations.

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Baosen Wu. 2025-12-09. Moduli space of complete stable pairs. https://arxiv.org/abs/2512.08678

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