Yve-Alain Bois

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منابع مشابه

ERCIM “ Alain Bensoussan ” Fellowship

During my fellowship, I was incorporated into the image group on the “Human Motion Imitation” (HUMIM) project. This project consists in proposing a human motion model implying different mathematical techniques. Consequently, this project implies different skills in computer science, human physiology, mechanics and physics, optimisation’s problems, differential geometry and statistics, and requi...

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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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A Tribute to Alain Colmerauer

As an invited contributor to this Festschrift honoring Alain Colmerauer, I feel compelled to give not only an account of his main research contributions, but also of my perspective on the motivations behind them. I hope that this will provide the reader with a glimpse of how a focused, tenacious, rigorous, and inventive mind like Alain’s picks research problems and proceeds to solve them. The h...

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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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ژورنال

عنوان ژورنال: Critique d’art

سال: 2017

ISSN: 1246-8258,2265-9404

DOI: 10.4000/critiquedart.27144