منابع مشابه
A Simple Characterization of Du Bois Singularities
We prove the following theorem characterizing Du Bois singularities. Suppose that Y is smooth and that X is a reduced closed subscheme. Let π : e Y → Y be a log resolution of X in Y that is an isomorphism outside of X. If E is the reduced pre-image of X in e Y , then X has Du Bois singularities if and only if the natural map ØX → Rπ∗ØE is a quasi-isomorphism. We also deduce Kollár’s conjecture ...
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We prove that a Cohen-Macaulay normal variety X has Du Bois singularities if and only if π∗ωX′(G) ≃ ωX for a log resolution π : X ′ → X , where G is the reduced exceptional divisor of π. Many basic theorems about Du Bois singularities become transparent using this characterization (including the fact that Cohen-Macaulay log canonical singularities are Du Bois). We also give a straightforward an...
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ژورنال
عنوان ژورنال: TSQ: Transgender Studies Quarterly
سال: 2014
ISSN: 2328-9252,2328-9260
DOI: 10.1215/23289252-2399560