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Perfectoid spaces and the weight-monodromy conjecture, after Peter Scholze

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Publication:490004
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DOI10.1007/s40306-013-0044-xzbMath1364.11120OpenAlexW1992507283WikidataQ122870875 ScholiaQ122870875MaRDI QIDQ490004

Takeshi Saito

Publication date: 21 January 2015

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40306-013-0044-x


zbMATH Keywords

Galois representations\(\ell\)-adic cohomologyperfectoid spacesthe weight-monodromy conjecture


Mathematics Subject Classification ID

Local ground fields in algebraic geometry (14G20) Varieties over finite and local fields (11G25) Rigid analytic geometry (14G22) (p)-adic cohomology, crystalline cohomology (14F30)


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Heights and Tamagawa numbers of motives



Cites Work

  • La conjecture de Weil. II
  • Almost ring theory
  • Perfectoid spaces
  • Complexe cotangent et déformations. I. (The cotangent complex and deformations. I.)
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