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- Eichler–Shimura_isomorphism abstract "In mathematics, Eichler cohomology (also called parabolic cohomology or cuspidal cohomology) is a cohomology theory for Fuchsian groups, introduced by Eichler (1957), that is a variation of group cohomology analogous to the image of the cohomology with compact support in the ordinary cohomology group. The Eichler–Shimura isomorphism, introduced by Eicher for complex cohomology and by Shimura (1959) for real cohomology, is an isomorphism between an Eichler cohomology group and a space of cusp forms. There are several variations of the Eichler–Shimura isomorphism, because one can use either real or complex coefficients, and can also use either Eichler cohomology or ordinary group cohomology as in (Gunning 1961). There is also a variation of the Eichler–Shimura isomorphisms using l-adic cohomology instead of real cohomology, which relates the coefficients of cusp forms to eigenvalues of Frobenius acting on these groups. Deligne (1971) used this to reduce the Ramanujan conjecture to the Weil conjectures that he later proved.".
- Eichler–Shimura_isomorphism wikiPageID "35173784".
- Eichler–Shimura_isomorphism wikiPageRevisionID "569346616".
- Eichler–Shimura_isomorphism b "P".
- Eichler–Shimura_isomorphism first "M.I.".
- Eichler–Shimura_isomorphism id "Eichler_cohomology".
- Eichler–Shimura_isomorphism last "Knopp".
- Eichler–Shimura_isomorphism p "1".
- Eichler–Shimura_isomorphism subject Category:Modular_forms.
- Eichler–Shimura_isomorphism comment "In mathematics, Eichler cohomology (also called parabolic cohomology or cuspidal cohomology) is a cohomology theory for Fuchsian groups, introduced by Eichler (1957), that is a variation of group cohomology analogous to the image of the cohomology with compact support in the ordinary cohomology group.".
- Eichler–Shimura_isomorphism label "Eichler–Shimura isomorphism".
- Eichler–Shimura_isomorphism sameAs Eichler%E2%80%93Shimura_isomorphism.
- Eichler–Shimura_isomorphism sameAs Q5348730.
- Eichler–Shimura_isomorphism sameAs Q5348730.
- Eichler–Shimura_isomorphism wasDerivedFrom Eichler–Shimura_isomorphism?oldid=569346616.