Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Crystalline_cohomology> ?p ?o }
Showing triples 1 to 100 of
100
with 100 triples per page.
- Crystalline_cohomology abstract "In mathematics, crystalline cohomology is a Weil cohomology theory for schemes introduced by Alexander Grothendieck (1966, 1968) and developed by Pierre Berthelot (1974). Its values are modules over rings of Witt vectors over the base field. Crystalline cohomology is partly inspired by the p-adic proof in Dwork (1960) of part of the Weil conjectures and is closely related to the algebraic version of de Rham cohomology that was introduced by Grothendieck (1963). Roughly speaking, crystalline cohomology of a variety X in characteristic p is the de Rham cohomology of a smooth lift of X to characteristic 0, while de Rham cohomology of X is the crystalline cohomology reduced mod p (after taking into account higher Tors).The idea of crystalline cohomology, roughly, is to replace the Zariski open sets of a scheme by infinitesimal thickenings of Zariski open sets with divided power structures. The motivation for this is that it can then be calculated by taking a local lifting of a scheme from characteristic p to characteristic 0 and employing an appropriate version of algebraic de Rham cohomology.Crystalline cohomology only works well for smooth proper schemes. Rigid cohomology extends it to more general schemes.".
- Crystalline_cohomology wikiPageExternalLink DixExp.pdf.
- Crystalline_cohomology wikiPageExternalLink fitem?id=SB_1974-1975__17__53_0.
- Crystalline_cohomology wikiPageExternalLink publications.
- Crystalline_cohomology wikiPageExternalLink item?id=PMIHES_1966__29__95_0.
- Crystalline_cohomology wikiPageID "10220067".
- Crystalline_cohomology wikiPageLength "15626".
- Crystalline_cohomology wikiPageOutDegree "73".
- Crystalline_cohomology wikiPageRevisionID "686548503".
- Crystalline_cohomology wikiPageWikiLink Affine_variety.
- Crystalline_cohomology wikiPageWikiLink Alexander_Grothendieck.
- Crystalline_cohomology wikiPageWikiLink Algebraic_closure.
- Crystalline_cohomology wikiPageWikiLink Algebraic_differential_equation.
- Crystalline_cohomology wikiPageWikiLink Algebraic_variety.
- Crystalline_cohomology wikiPageWikiLink American_Journal_of_Mathematics.
- Crystalline_cohomology wikiPageWikiLink Analytic_continuation.
- Crystalline_cohomology wikiPageWikiLink Bernard_Dwork.
- Crystalline_cohomology wikiPageWikiLink Category:Algebraic_geometry.
- Crystalline_cohomology wikiPageWikiLink Category:Cohomology_theories.
- Crystalline_cohomology wikiPageWikiLink Category:Homological_algebra.
- Crystalline_cohomology wikiPageWikiLink Characteristic_(algebra).
- Crystalline_cohomology wikiPageWikiLink Closed_and_exact_differential_forms.
- Crystalline_cohomology wikiPageWikiLink Coherent_sheaf.
- Crystalline_cohomology wikiPageWikiLink Connection_(vector_bundle).
- Crystalline_cohomology wikiPageWikiLink De_Rham_cohomology.
- Crystalline_cohomology wikiPageWikiLink Dieudonné_module.
- Crystalline_cohomology wikiPageWikiLink Differential_form.
- Crystalline_cohomology wikiPageWikiLink Divided_power_structure.
- Crystalline_cohomology wikiPageWikiLink Endomorphism_ring.
- Crystalline_cohomology wikiPageWikiLink Expositiones_Mathematicae.
- Crystalline_cohomology wikiPageWikiLink Formal_scheme.
- Crystalline_cohomology wikiPageWikiLink Glossary_of_arithmetic_and_Diophantine_geometry.
- Crystalline_cohomology wikiPageWikiLink Grothendieck_topology.
- Crystalline_cohomology wikiPageWikiLink Ground_field.
- Crystalline_cohomology wikiPageWikiLink Hyperhomology.
- Crystalline_cohomology wikiPageWikiLink Injective_sheaf.
- Crystalline_cohomology wikiPageWikiLink Jean-Marc_Fontaine.
- Crystalline_cohomology wikiPageWikiLink John_Tate.
- Crystalline_cohomology wikiPageWikiLink Kummer_theory.
- Crystalline_cohomology wikiPageWikiLink Kähler_differential.
- Crystalline_cohomology wikiPageWikiLink Maximal_unramified_extension.
- Crystalline_cohomology wikiPageWikiLink Module_(mathematics).
- Crystalline_cohomology wikiPageWikiLink Motivic_cohomology.
- Crystalline_cohomology wikiPageWikiLink Nick_Katz.
- Crystalline_cohomology wikiPageWikiLink P-adic_Hodge_theory.
- Crystalline_cohomology wikiPageWikiLink P-adic_L-function.
- Crystalline_cohomology wikiPageWikiLink P-adic_number.
- Crystalline_cohomology wikiPageWikiLink Paul_Monsky.
- Crystalline_cohomology wikiPageWikiLink Princeton_University_Press.
- Crystalline_cohomology wikiPageWikiLink Quaternion_algebra.
- Crystalline_cohomology wikiPageWikiLink Ramification_(mathematics).
- Crystalline_cohomology wikiPageWikiLink Rigid_analytic_space.
- Crystalline_cohomology wikiPageWikiLink Rigid_cohomology.
- Crystalline_cohomology wikiPageWikiLink Ring_(mathematics).
- Crystalline_cohomology wikiPageWikiLink Scalar_(mathematics).
- Crystalline_cohomology wikiPageWikiLink Scheme_(mathematics).
- Crystalline_cohomology wikiPageWikiLink Sheaf_(mathematics).
- Crystalline_cohomology wikiPageWikiLink Singular_homology.
- Crystalline_cohomology wikiPageWikiLink Smooth_scheme.
- Crystalline_cohomology wikiPageWikiLink Springer_Science+Business_Media.
- Crystalline_cohomology wikiPageWikiLink Supersingular_elliptic_curve.
- Crystalline_cohomology wikiPageWikiLink Tor_functor.
- Crystalline_cohomology wikiPageWikiLink Weil_cohomology_theory.
- Crystalline_cohomology wikiPageWikiLink Weil_conjectures.
- Crystalline_cohomology wikiPageWikiLink Witt_vector.
- Crystalline_cohomology wikiPageWikiLink Zariski_topology.
- Crystalline_cohomology wikiPageWikiLink Étale_cohomology.
- Crystalline_cohomology wikiPageWikiLinkText "Crystalline cohomology".
- Crystalline_cohomology wikiPageWikiLinkText "Crystalline cohomology#de Rham cohomology".
- Crystalline_cohomology wikiPageWikiLinkText "Crystals".
- Crystalline_cohomology wikiPageWikiLinkText "algebraic de Rham complex".
- Crystalline_cohomology wikiPageWikiLinkText "crystal".
- Crystalline_cohomology wikiPageWikiLinkText "crystalline cohomology".
- Crystalline_cohomology authorlink "Alexander Grothendieck".
- Crystalline_cohomology authorlink "Pierre Berthelot".
- Crystalline_cohomology first "Alexander".
- Crystalline_cohomology first "Pierre".
- Crystalline_cohomology last "Berthelot".
- Crystalline_cohomology last "Grothendieck".
- Crystalline_cohomology wikiPageUsesTemplate Template:Arxiv.
- Crystalline_cohomology wikiPageUsesTemplate Template:Citation.
- Crystalline_cohomology wikiPageUsesTemplate Template:Harvs.
- Crystalline_cohomology wikiPageUsesTemplate Template:Harvtxt.
- Crystalline_cohomology year "1966".
- Crystalline_cohomology year "1968".
- Crystalline_cohomology year "1974".
- Crystalline_cohomology subject Category:Algebraic_geometry.
- Crystalline_cohomology subject Category:Cohomology_theories.
- Crystalline_cohomology subject Category:Homological_algebra.
- Crystalline_cohomology hypernym Theory.
- Crystalline_cohomology type Work.
- Crystalline_cohomology type Theory.
- Crystalline_cohomology comment "In mathematics, crystalline cohomology is a Weil cohomology theory for schemes introduced by Alexander Grothendieck (1966, 1968) and developed by Pierre Berthelot (1974). Its values are modules over rings of Witt vectors over the base field. Crystalline cohomology is partly inspired by the p-adic proof in Dwork (1960) of part of the Weil conjectures and is closely related to the algebraic version of de Rham cohomology that was introduced by Grothendieck (1963).".
- Crystalline_cohomology label "Crystalline cohomology".
- Crystalline_cohomology sameAs Q5191431.
- Crystalline_cohomology sameAs Cohomologie_cristalline.
- Crystalline_cohomology sameAs m.02q5mpl.
- Crystalline_cohomology sameAs Q5191431.
- Crystalline_cohomology wasDerivedFrom Crystalline_cohomology?oldid=686548503.
- Crystalline_cohomology isPrimaryTopicOf Crystalline_cohomology.