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- Geometric_invariant_theory abstract "In mathematics Geometric invariant theory (or GIT) is a method for constructing quotients by group actions in algebraic geometry, used to construct moduli spaces. It was developed by David Mumford in 1965, using ideas from the paper (Hilbert 1893) in classical invariant theory. Geometric invariant theory studies an action of a group G on an algebraic variety (or scheme) X and provides techniques for forming the 'quotient' of X by G as a scheme with reasonable properties. One motivation was to construct moduli spaces in algebraic geometry as quotients of schemes parametrizing marked objects. In the 1970s and 1980s the theory developed interactions with symplectic geometry and equivariant topology, and was used to construct moduli spaces of objects in differential geometry, such as instantons and monopoles.".
- Geometric_invariant_theory wikiPageExternalLink view?rid=ensmat-001:1977:23::185.
- Geometric_invariant_theory wikiPageExternalLink item?id=PMIHES_1969__36__75_0.
- Geometric_invariant_theory wikiPageID "1639003".
- Geometric_invariant_theory wikiPageRevisionID "592910986".
- Geometric_invariant_theory hasPhotoCollection Geometric_invariant_theory.
- Geometric_invariant_theory subject Category:Algebraic_groups.
- Geometric_invariant_theory subject Category:Invariant_theory.
- Geometric_invariant_theory subject Category:Moduli_theory.
- Geometric_invariant_theory subject Category:Scheme_theory.
- Geometric_invariant_theory type Abstraction100002137.
- Geometric_invariant_theory type AlgebraicGroups.
- Geometric_invariant_theory type Group100031264.
- Geometric_invariant_theory comment "In mathematics Geometric invariant theory (or GIT) is a method for constructing quotients by group actions in algebraic geometry, used to construct moduli spaces. It was developed by David Mumford in 1965, using ideas from the paper (Hilbert 1893) in classical invariant theory. Geometric invariant theory studies an action of a group G on an algebraic variety (or scheme) X and provides techniques for forming the 'quotient' of X by G as a scheme with reasonable properties.".
- Geometric_invariant_theory label "Geometric invariant theory".
- Geometric_invariant_theory sameAs 幾何学的不変式論.
- Geometric_invariant_theory sameAs m.05jrfb.
- Geometric_invariant_theory sameAs Q5535491.
- Geometric_invariant_theory sameAs Q5535491.
- Geometric_invariant_theory sameAs Geometric_invariant_theory.
- Geometric_invariant_theory wasDerivedFrom Geometric_invariant_theory?oldid=592910986.
- Geometric_invariant_theory isPrimaryTopicOf Geometric_invariant_theory.