Étale homotopy types of moduli stacks of polarised abelian schemes

IF 0.5 4区数学

Journal of Homotopy and Related Structures Pub Date : 2016-11-25 DOI:10.1007/s40062-016-0149-8

Paola Frediani, Frank Neumann

引用次数: 2

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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Étale极化阿贝尔格式模堆的同伦类型

利用超越方法确定了极化阿别列格式的模堆的Artin-Mazur 同伦型，并推导了这些模堆的基本群的一些算术性质。最后，从一个可变同伦的角度分析了代数曲线模堆与主极化阿贝尔格式之间的Torelli态射。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Homotopy and Related Structures Mathematics-Geometry and Topology

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期刊介绍： Journal of Homotopy and Related Structures (JHRS) is a fully refereed international journal dealing with homotopy and related structures of mathematical and physical sciences. Journal of Homotopy and Related Structures is intended to publish papers on Homotopy in the broad sense and its related areas like Homological and homotopical algebra, K-theory, topology of manifolds, geometric and categorical structures, homology theories, topological groups and algebras, stable homotopy theory, group actions, algebraic varieties, category theory, cobordism theory, controlled topology, noncommutative geometry, motivic cohomology, differential topology, algebraic geometry.