Ample vector bundles and moduli of tame stacks

Fuente: arXiv
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Auteurs principaux: Bragg, Daniel, Olsson, Martin, Webb, Rachel
Format: Preprint
Publié: 2024
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author Bragg, Daniel
Olsson, Martin
Webb, Rachel
author_facet Bragg, Daniel
Olsson, Martin
Webb, Rachel
contents We explain how to define an embedding of a tame stack over a noetherian ring into a certain generalization of a weighted projective stack using a notion of ample vector bundle on the stack. As applications we construct algebraic moduli stacks of tame stacks equipped with an ample vector bundle and algebraic stacks of tame orbicurves.
format Preprint
id arxiv_https___arxiv_org_abs_2407_01743
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Ample vector bundles and moduli of tame stacks
Bragg, Daniel
Olsson, Martin
Webb, Rachel
Algebraic Geometry
We explain how to define an embedding of a tame stack over a noetherian ring into a certain generalization of a weighted projective stack using a notion of ample vector bundle on the stack. As applications we construct algebraic moduli stacks of tame stacks equipped with an ample vector bundle and algebraic stacks of tame orbicurves.
title Ample vector bundles and moduli of tame stacks
topic Algebraic Geometry
url https://arxiv.org/abs/2407.01743