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- Derived_algebraic_geometry abstract "Derived algebraic geometry is a branch of mathematics that generalizes algebraic geometry to a situation where commutative rings, which provide a local chart, are replaced by ring spectra in algebraic topology, whose higher homotopy accounts for the non-commutativity of the structure sheaf. Grothendieck's scheme theory allows the structure sheaf to carry nilpotent elements. Derived algebraic geometry can be thought of as an extension of this, and provides a natural setting for cotangent complexes and such in deformation theory (cf. F. Francis).Basic objects of study in the field are derived schemes and derived stacks.".
- Derived_algebraic_geometry wikiPageExternalLink rtx110700955p.pdf.
- Derived_algebraic_geometry wikiPageExternalLink derived+algebraic+geometry.
- Derived_algebraic_geometry wikiPageExternalLink dag.html.
- Derived_algebraic_geometry wikiPageExternalLink DAG.html.
- Derived_algebraic_geometry wikiPageExternalLink ~lurie.
- Derived_algebraic_geometry wikiPageExternalLink thezrev.pdf.
- Derived_algebraic_geometry wikiPageID "40778281".
- Derived_algebraic_geometry wikiPageLength "2233".
- Derived_algebraic_geometry wikiPageOutDegree "20".
- Derived_algebraic_geometry wikiPageRevisionID "635812326".
- Derived_algebraic_geometry wikiPageWikiLink Algebra_over_an_operad.
- Derived_algebraic_geometry wikiPageWikiLink Algebraic_geometry.
- Derived_algebraic_geometry wikiPageWikiLink Algebraic_topology.
- Derived_algebraic_geometry wikiPageWikiLink Category:Algebraic_geometry.
- Derived_algebraic_geometry wikiPageWikiLink Category:Algebraic_topology.
- Derived_algebraic_geometry wikiPageWikiLink Category:Ring_theory.
- Derived_algebraic_geometry wikiPageWikiLink Category:Scheme_theory.
- Derived_algebraic_geometry wikiPageWikiLink Commutative_ring.
- Derived_algebraic_geometry wikiPageWikiLink Cotangent_complex.
- Derived_algebraic_geometry wikiPageWikiLink Deformation_theory.
- Derived_algebraic_geometry wikiPageWikiLink Derived_scheme.
- Derived_algebraic_geometry wikiPageWikiLink Derived_stack.
- Derived_algebraic_geometry wikiPageWikiLink En-ring.
- Derived_algebraic_geometry wikiPageWikiLink Higher_Topos_Theory.
- Derived_algebraic_geometry wikiPageWikiLink Nilpotent.
- Derived_algebraic_geometry wikiPageWikiLink Nilpotent_element.
- Derived_algebraic_geometry wikiPageWikiLink Noncommutative_algebraic_geometry.
- Derived_algebraic_geometry wikiPageWikiLink Ring_spectra.
- Derived_algebraic_geometry wikiPageWikiLink Ring_spectrum.
- Derived_algebraic_geometry wikiPageWikiLink Scheme_(mathematics).
- Derived_algebraic_geometry wikiPageWikiLink Scheme_theory.
- Derived_algebraic_geometry wikiPageWikiLink Simplicial_commutative_ring.
- Derived_algebraic_geometry wikiPageWikiLink ∞-topos.
- Derived_algebraic_geometry wikiPageWikiLinkText "Derived algebraic geometry".
- Derived_algebraic_geometry wikiPageWikiLinkText "derived algebraic geometry".
- Derived_algebraic_geometry hasPhotoCollection Derived_algebraic_geometry.
- Derived_algebraic_geometry wikiPageUsesTemplate Template:Cite_book.
- Derived_algebraic_geometry wikiPageUsesTemplate Template:Cite_journal.
- Derived_algebraic_geometry wikiPageUsesTemplate Template:Topology-stub.
- Derived_algebraic_geometry subject Category:Algebraic_geometry.
- Derived_algebraic_geometry subject Category:Algebraic_topology.
- Derived_algebraic_geometry subject Category:Ring_theory.
- Derived_algebraic_geometry subject Category:Scheme_theory.
- Derived_algebraic_geometry hypernym Branch.
- Derived_algebraic_geometry type Organisation.
- Derived_algebraic_geometry comment "Derived algebraic geometry is a branch of mathematics that generalizes algebraic geometry to a situation where commutative rings, which provide a local chart, are replaced by ring spectra in algebraic topology, whose higher homotopy accounts for the non-commutativity of the structure sheaf. Grothendieck's scheme theory allows the structure sheaf to carry nilpotent elements.".
- Derived_algebraic_geometry label "Derived algebraic geometry".
- Derived_algebraic_geometry sameAs m.0100gnvf.
- Derived_algebraic_geometry sameAs Q16959942.
- Derived_algebraic_geometry sameAs Q16959942.
- Derived_algebraic_geometry wasDerivedFrom Derived_algebraic_geometry?oldid=635812326.
- Derived_algebraic_geometry isPrimaryTopicOf Derived_algebraic_geometry.