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arXiv · 2407.01743

Ample vector bundles and moduli of tame stacks

Daniel Bragg·Martin Olsson·Rachel Webb
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Abstract

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.

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Daniel Bragg, Martin Olsson, Rachel Webb. 2024-07-01. Ample vector bundles and moduli of tame stacks. https://arxiv.org/abs/2407.01743

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