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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.Basic objects of study in the field are derived schemes and derived stacks.".
- Derived_algebraic_geometry wikiPageExternalLink derived+algebraic+geometry.
- Derived_algebraic_geometry wikiPageExternalLink dag.html.
- Derived_algebraic_geometry wikiPageExternalLink DAG.html.
- Derived_algebraic_geometry wikiPageExternalLink rtx110700955p.pdf.
- Derived_algebraic_geometry wikiPageExternalLink ~lurie.
- Derived_algebraic_geometry wikiPageExternalLink thezrev.pdf.
- Derived_algebraic_geometry wikiPageID "40778281".
- Derived_algebraic_geometry wikiPageRevisionID "604007172".
- 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 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=604007172.
- Derived_algebraic_geometry isPrimaryTopicOf Derived_algebraic_geometry.