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Étale homotopy types of moduli stacks of polarised abelian schemes

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journal contribution
posted 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.

History

Citation

Journal of Homotopy and Related Structures, 2016, 11, pp. 775-801

Author affiliation

/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of Mathematics

Version

  • AM (Accepted Manuscript)

Published in

Journal of Homotopy and Related Structures

Publisher

Springer Berlin Heidelberg, Tbilisi Centre for Mathematical Sciences, Georgia

issn

2193-8407

eissn

1512-2891

Acceptance date

2016-02-06

Available date

2016-12-05

Publisher version

http://link.springer.com/article/10.1007/s40062-016-0149-8

Notes

Mathematics Subject Classification 14F35 14K10 14H10 14C34

Language

en

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