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geometry > algebraic geometry > motivic cohomology
topology > algebraic topology > homotopical algebra > motivic cohomology
... > algebra > abstract algebra > algebraic structure > homological algebra > homotopical algebra > motivic cohomology
topology > algebraic topology > cohomology > motivic cohomology

Preferred term

motivic cohomology  

Definition

  • Motivic cohomology is an invariant of algebraic varieties and of more general schemes. It is a type of cohomology related to motives and includes the Chow ring of algebraic cycles as a special case. Some of the deepest problems in algebraic geometry and number theory are attempts to understand motivic cohomology.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Motivic_cohomology)

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http://data.loterre.fr/ark:/67375/PSR-SJ2HFCG6-9

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