Étale homotopy types of moduli stacks of polarised abelian schemes
journal contributionposted on 2016-12-05, 16:29 authored by P. Frediani, Frank Neumann
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.
CitationJournal of Homotopy and Related Structures, 2016, 11, pp. 775-801
Author affiliation/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of Mathematics
- AM (Accepted Manuscript)