Regular scheme
In algebraic geometry, a regular scheme is a scheme whose local rings are regular everywhere. Every smooth scheme is regular, and every regular scheme of finite type over a perfect field is smooth. For an example of a regular scheme that is not smooth, see Geometrically regular ring#Examples.
Algebraic function fieldBrauer groupCohen–Macaulay ringCoherent sheafDivisor (algebraic geometry)Elliptic surfaceGeometrically (algebraic geometry)Geometrically regular ringGlossary of algebraic geometryGorenstein schemeK-theoryRegular embeddingRegular local ringSmooth schemeTheorem of absolute purity
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Regular scheme
In algebraic geometry, a regular scheme is a scheme whose local rings are regular everywhere. Every smooth scheme is regular, and every regular scheme of finite type over a perfect field is smooth. For an example of a regular scheme that is not smooth, see Geometrically regular ring#Examples.
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In algebraic geometry, a regul ...... rically regular ring#Examples.
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In algebraic geometry, a regul ...... rically regular ring#Examples.
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Regular scheme
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