Moduli space of complete stable pairs
Algebraic Geometry
2025-12-10 v1
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 is an iterated blowing-up of the moduli of stable pairs, similar to the construction of the space of complete collineations.
Cite
@article{arxiv.2512.08678,
title = {Moduli space of complete stable pairs},
author = {Baosen Wu},
journal= {arXiv preprint arXiv:2512.08678},
year = {2025}
}