crystalline cohomology

Weil cohomology theory for schemes over a base field, whose values are modules over the ring of Witt vectors over the base field, that replaces Zariski open sets by infinitesimal thickenings of Zariski open sets with divided power structures
Thing weil_cohomology_theory Q5191431
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crystalline cohomology

Summary

crystalline cohomology is a Weil cohomology theory[1]. It draws 70 Wikipedia views per month (weil_cohomology_theory category, ranking #1 of 1).[2]

Key Facts

  • crystalline cohomology is credited with the discovery of Alexander Grothendieck[3].
  • crystalline cohomology's instance of is recorded as Weil cohomology theory[4].
  • crystalline cohomology's Stack Exchange tag is recorded as https://mathoverflow.net/tags/crystalline-cohomology[5].
  • crystalline cohomology's Stack Exchange tag is recorded as https://math.stackexchange.com/tags/crystalline-cohomology[6].
  • crystalline cohomology's studied by is recorded as algebraic geometry[7].
  • crystalline cohomology's maintained by WikiProject is recorded as WikiProject Mathematics[8].

Body

Definition and Type

crystalline cohomology's instance of is recorded as Weil cohomology theory[4].

Why It Matters

crystalline cohomology draws 70 Wikipedia views per month (weil_cohomology_theory category, ranking #1 of 1).[2] It has Wikipedia articles in 6 language editions, a strong signal of global cultural recognition.[9] It is known by 5 alternative names across languages and contexts.[10]

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APA 4ort.xyz Knowledge Graph. (2026). crystalline cohomology. Retrieved May 3, 2026, from https://4ort.xyz/entity/crystalline-cohomology
MLA “crystalline cohomology.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/crystalline-cohomology.
BibTeX @misc{4ortxyz_crystalline-cohomology_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{crystalline cohomology}}, year = {2026}, url = {https://4ort.xyz/entity/crystalline-cohomology}, note = {Accessed: 2026-05-03}}
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Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 4w ago · MatSuBot bot · 2026-05-09 view diff on Wikidata ↗
    Aliases
    Maintained by wikiproject WikiProject Mathematics
    Studied by algebraic geometry
    Instance of
    + 2 other properties edited (see Wikidata diff for full list)
    "/* wbsetqualifier-update:1| */ [[Property:P9758]]: [[Q16317911]], fix redirect [[Q28920044]] → [[Q16317911]] ([[:toollabs:editgroups/b/CB/43bf22167717|details]])"
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