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arXiv · 1512.07544

Étale homotopy types of moduli stacks of polarised abelian schemes

Paola Frediani·Frank Neumann
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Abstract

We determine the Artin-Mazur étale homotopy types of moduli stacks of polarised abelian schemes using transcendental methods and derive some arithmetic properties of the étale fundamental groups of these moduli stacks. Finally we analyse the Torelli morphism between the moduli stacks of algebraic curves and principally polarised abelian schemes from an étale homotopy point of view.

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Paola Frediani, Frank Neumann. 2016-12-08. Étale homotopy types of moduli stacks of polarised abelian schemes. https://arxiv.org/abs/1512.07544

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