Theorems in algebraic geometry | Morphisms of schemes

Regular embedding

In algebraic geometry, a closed immersion of schemes is a regular embedding of codimension r if each point x in X has an open affine neighborhood U in Y such that the ideal of is generated by a regular sequence of length r. A regular embedding of codimension one is precisely an effective Cartier divisor. (Wikipedia).

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From playlist Algorithm Whiteboard

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From playlist Papers Read Aloud

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Related pages

Projective module | Perfect complex | Smooth morphism | Complete intersection ring | Koszul complex | Regular scheme | Intersection theory | Flat morphism | Regular sequence | Closed immersion | Cotangent complex | Algebraic geometry | Grothendieck group | Grothendieck–Riemann–Roch theorem