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Scheme-theoretic intersection

In algebraic geometry, the scheme-theoretic intersection of closed subschemes X, Y of a scheme W is X × W Y {\displaystyle X\times _{W}Y} , the fiber product of the closed immersions X ↪ W , Y ↪ W {\displaystyle X\hookrightarrow W,Y\hookrightarrow W} . It is denoted by X ∩ Y {\displaystyle X\cap Y} .

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Proper intersection

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Scheme-theoretic intersection

Nodes23
Edges22
Triples1
Avg. degree1.91
Density0.086957
Components1

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Important terminology

intersection displaystyle cap scheme-theoretic one algebraic example given multiplicity proper see geometry closed subschemes spec operatorname may scheme component variety

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Bloch define a proper intersection without assuming X is regularinstance ofhas codimension three.Some authors0.80text

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