Du Bois and Africa, 1933-1963

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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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F-injective Singularities Are Du Bois

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The Canonical Sheaf of Du Bois Singularities

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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Reading Du Bois on East Africa: Epistemological Implications of Apartheid Constructions of Knowledge

This paper "reads" the scholarship of W. E. B. Du Bois and references East African history and historiography, including the broader pan-African tradition of which Du Bois was a leading member. Du Bois and his pan-African colleagues were often more accurate in their analyses and perception of biases and colonial myths than their Western counterparts. What is significant is that biases and myths...

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The mixed fortunes of PAUL DU BOIS-REYMOND'S infinitary calculus and ideal boundary between convergence and divergence are traced from 1870 to 1914. CANTOR, DEDEKIND, PEANO, RUSSELL, PRINGSHEIM and others objected. STOLZ, BOREL, HARDY and others accepted, at least in part, and built further. HAUSDORFF to some extent effected a compromise. The differing attitudes of the different participants to...

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ژورنال

عنوان ژورنال: Ufahamu: A Journal of African Studies

سال: 1978

ISSN: 2150-5802,0041-5715

DOI: 10.5070/f782017380