Ample vector bundles and moduli of tame stacks

2024/07/01 by Daniel Bragg, Martin L. Olsson, Bragg, Daniel +3 · 2 citations
Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.2407.01743

openalex publication_date 2024/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• Endomorphisms of singular del Pezzo surfaces
• Moduli of Multi-Uniformized Stacks and Seifert \mathbbG_m^d-Bundles

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