Sheaf stable pairs, Quot-schemes, and birational geometry

Fuente: arXiv
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Main Authors: Birkar, Caucher, Jia, Jia, Sheshmani, Artan
Format: Preprint
Published: 2024
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author Birkar, Caucher
Jia, Jia
Sheshmani, Artan
author_facet Birkar, Caucher
Jia, Jia
Sheshmani, Artan
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2406_00230
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Sheaf stable pairs, Quot-schemes, and birational geometry
Birkar, Caucher
Jia, Jia
Sheshmani, Artan
Algebraic Geometry
14J10, 14E30, 14H60
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.
title Sheaf stable pairs, Quot-schemes, and birational geometry
topic Algebraic Geometry
14J10, 14E30, 14H60
url https://arxiv.org/abs/2406.00230