Fiber product of schemes
In mathematics, specifically in algebraic geometry, the fiber product of schemes is a fundamental construction. It has many interpretations and special cases. For example, the fiber product describes how an algebraic variety over one field determines a variety over a bigger field, or the pullback of a family of varieties, or a fiber of a family of varieties. Base change is a closely related notion.
Algebraic varietyAmple line bundleBase changeBase change (scheme theory)Change of baseDiagonal morphism (algebraic geometry)Fiber (mathematics)Field of definitionFinite morphismFlat morphismGeneric flatnessGrothendieck's relative point of viewGroup-scheme actionGroup schemeHochschild homologyIntegral domainKleiman's theoremKähler differentialLinear algebraic groupList of algebraic geometry topicsMultiplicative groupOvercategoryPresheaf with transfersProduct of schemesProjective varietyProper morphismPullback (category theory)Rational pointReductive groupScheme-theoretic fiberScheme (mathematics)Stable under base changeTensor product of algebrasTorsor (algebraic geometry)Weil restrictionÉtale homotopy typeÉtale topology
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Fiber product of schemes
In mathematics, specifically in algebraic geometry, the fiber product of schemes is a fundamental construction. It has many interpretations and special cases. For example, the fiber product describes how an algebraic variety over one field determines a variety over a bigger field, or the pullback of a family of varieties, or a fiber of a family of varieties. Base change is a closely related notion.
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In mathematics, specifically i ...... e is a closely related notion.
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In mathematics, specifically i ...... e is a closely related notion.
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Fiber product of schemes
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