Noncommutative algebraic geometry
Noncommutative algebraic geometry is a branch of mathematics, and more specifically a direction in noncommutative geometry, that studies the geometric properties of formal duals of non-commutative algebraic objects such as rings as well as geometric objects derived from them (e.g. by gluing along localizations or taking noncommutative stack quotients). One of the values of the field is that it also provides new techniques to study objects in commutative algebraic geometry such as Brauer groups.
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Alexander L. RosenbergAlgebraic geometryAssociative algebraBertrand ToënCalabi–Yau algebraChelsea WaltonDerived algebraic geometryDerived noncommutative algebraic geometryFred Van OystaeyenGabriel–Rosenberg reconstruction theoremGeneric matrix ringGeometric group theoryGlossary of algebraic geometryGlossary of areas of mathematicsGrothendieck categoryMichael ArtinNoncommutative geometryNoncommutative projective geometryNoncommutative ringNoncommutative schemeTimeline of category theory and related mathematics
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Noncommutative algebraic geometry
Noncommutative algebraic geometry is a branch of mathematics, and more specifically a direction in noncommutative geometry, that studies the geometric properties of formal duals of non-commutative algebraic objects such as rings as well as geometric objects derived from them (e.g. by gluing along localizations or taking noncommutative stack quotients). One of the values of the field is that it also provides new techniques to study objects in commutative algebraic geometry such as Brauer groups.
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Noncommutative algebraic geome ...... to the noncommutative setting.
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Kapranov%27s%20noncommutative%20geometry
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equivariant+noncommutative+algebraic+geometry
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noncommutative+algebraic+geometry
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noncommutative+scheme
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Kapranov's noncommutative geometry
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equivariant noncommutative algebraic geometry
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noncommutative algebraic geometry
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noncommutative scheme
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Noncommutative algebraic geome ...... eometry such as Brauer groups.
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Noncommutative algebraic geometry
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