Moduli stack of formal group laws (original) (raw)

Property Value
dbo:abstract In algebraic geometry, the moduli stack of formal group laws is a stack classifying formal group laws and isomorphisms between them. It is denoted by . It is a "geometric “object" that underlies the chromatic approach to the stable homotopy theory, a branch of algebraic topology. Currently, it is not known whether is a derived stack or not. Hence, it is typical to work with stratifications. Let be given so that consists of formal group laws over R of height exactly n. They form a stratification of the moduli stack . is faithfully flat. In fact, is of the form where is a profinite group called the Morava stabilizer group. The Lubin–Tate theory describes how the strata fit together. (en)
dbo:wikiPageExternalLink http://www.math.northwestern.edu/~pgoerss/papers/banff.pdf http://www.math.harvard.edu/~lurie/252x.html
dbo:wikiPageID 42478068 (xsd:integer)
dbo:wikiPageLength 2828 (xsd:nonNegativeInteger)
dbo:wikiPageRevisionID 1117869132 (xsd:integer)
dbo:wikiPageWikiLink dbr:Algebraic_topology dbr:Derived_stack dbr:Profinite_group dbr:Stack_(mathematics) dbc:Topology dbr:Chromatic_homotopy_theory dbr:Faithfully_flat_morphism dbr:Stable_homotopy_theory dbr:Formal_group dbr:Lubin–Tate_theory
dbp:wikiPageUsesTemplate dbt:Cite_book dbt:Cite_journal dbt:Cite_web dbt:Topology-stub
dct:subject dbc:Topology
rdfs:comment In algebraic geometry, the moduli stack of formal group laws is a stack classifying formal group laws and isomorphisms between them. It is denoted by . It is a "geometric “object" that underlies the chromatic approach to the stable homotopy theory, a branch of algebraic topology. (en)
rdfs:label Moduli stack of formal group laws (en)
owl:sameAs freebase:Moduli stack of formal group laws wikidata:Moduli stack of formal group laws https://global.dbpedia.org/id/fmYB
prov:wasDerivedFrom wikipedia-en:Moduli_stack_of_formal_group_laws?oldid=1117869132&ns=0
foaf:isPrimaryTopicOf wikipedia-en:Moduli_stack_of_formal_group_laws
is dbo:wikiPageRedirects of dbr:Moduli_space_of_formal_group_laws
is dbo:wikiPageWikiLink of dbr:Algebraic_stack dbr:Quotient_stack dbr:Stack_(mathematics) dbr:Chromatic_homotopy_theory dbr:Moduli_space_of_formal_group_laws
is foaf:primaryTopic of wikipedia-en:Moduli_stack_of_formal_group_laws