Singularity theory | Algebraic geometry

Du Bois singularity

In algebraic geometry, Du Bois singularities are singularities of complex varieties studied by . gave the following characterisation of Du Bois singularities. Suppose that is a reduced closed subscheme of a smooth scheme . Take a log resolution of in that is an isomorphism outside , and let be the reduced preimage of in . Then has Du Bois singularities if and only if the induced map is a quasi-isomorphism. (Wikipedia).

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Related pages

Complex algebraic variety | Quasi-isomorphism | Algebraic geometry | Smooth scheme