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Perfectoid Shimura varieties

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Publication:311169
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DOI10.1007/s11537-016-1484-6zbMath1355.14023OpenAlexW2246897556MaRDI QIDQ311169

Peter Scholze

Publication date: 29 September 2016

Published in: Japanese Journal of Mathematics. 3rd Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11537-016-1484-6


zbMATH Keywords

Shimura varietiesperfectoid spaces


Mathematics Subject Classification ID

Modular and Shimura varieties (14G35)


Related Items (2)

Hyperbolic superspaces and super-Riemann surfaces ⋮ On the work of Peter Scholze



Cites Work

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  • On torsion in the cohomology of locally symmetric varieties
  • Perfectoid spaces
  • Moduli of \(p\)-divisible groups
  • Exponential growth of homological torsion for towers of congruence subgroups of Bianchi groups
  • Compactification of arithmetic quotients of bounded symmetric domains
  • Completed cohomology – a survey
  • The asymptotic growth of torsion homology for arithmetic groups
  • Perfectoid Spaces: A survey
  • Travaux de Shimura


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