Smooth scheme
In algebraic geometry, a smooth scheme over a field is a scheme which is well approximated by affine space near any point. Smoothness is one way of making precise the notion of a scheme with no singular points. A special case is the notion of a smooth variety over a field. Smooth schemes play the role in algebraic geometry of manifolds in topology.
Adjunction formulaAlgebraic curveAlgebraic number theoryAlgebraic stackAmple line bundleArithmetic zeta functionBloch's higher Chow groupBorel–Moore homologyBott–Samelson resolutionBrauer groupBundle of principal partsCanonical bundleCastelnuovo's contraction theoremChow's moving lemmaChow groupCohen–Macaulay ringCoherent sheafCoherent sheaf cohomologyCotangent sheafCubic surfaceDiagonal morphism (algebraic geometry)Dimension of a schemeDivisor (algebraic geometry)Du Bois singularityDualizing moduleElliptic surfaceFano varietyField (mathematics)Fourier–Mukai transformGIT quotientGeneralized flag varietyGeneric propertyGeneric smoothnessGeometrically (algebraic geometry)Glossary of algebraic geometryGlossary of arithmetic and diophantine geometryGorenstein ringGorenstein schemeGrothendieck trace formulaGrothendieck–Riemann–Roch theorem
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Smooth scheme
In algebraic geometry, a smooth scheme over a field is a scheme which is well approximated by affine space near any point. Smoothness is one way of making precise the notion of a scheme with no singular points. A special case is the notion of a smooth variety over a field. Smooth schemes play the role in algebraic geometry of manifolds in topology.
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In algebraic geometry, a smoot ...... etry of manifolds in topology.
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In algebraic geometry, a smoot ...... etry of manifolds in topology.
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Smooth scheme
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