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arXiv · 2406.00230

Sheaf stable pairs, Quot-schemes, and birational geometry

Caucher Birkar·Jia Jia·Artan Sheshmani
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Abstract

In this paper we build bridges between moduli theory of sheaf stable pairs on one hand and birational geometry on the other hand. We will in particular treat moduli of sheaf stable pairs on smooth projective curves in detail and present some calculations in low degrees. We will also outline problems in various directions.

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Caucher Birkar, Jia Jia, Artan Sheshmani. 2024-05-31. Sheaf stable pairs, Quot-schemes, and birational geometry. https://arxiv.org/abs/2406.00230

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