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Resolution of Singularities -- Seattle Lecture
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Resolution of Singularities -- Seattle Lecture
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These are the notes for my lecture ``Resolution of Sigularities in Charcteristic 0" given at the AMS Summer Institute at Seattle. It gives a self contained proof of the strong Hironaka resolution theorem.
Forward citations
Cited by 3 Pith papers
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The Miyaoka-Yau inequality and the delta invariant for Fano varieties
Every klt Fano variety satisfies a Miyaoka–Yau inequality whose deficit is controlled by (1−min{1,δ(X)})², and every Fano manifold with a Kähler–Ricci soliton satisfies the analogous equivariant inequality.
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Effective characterization of semi-abelian varieties
Under maximal Albanese dimension, P_2(V)=1 implies V is isomorphic to a semi-abelian variety away from a codimension-2 subset.
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Differential Forms and Hodge Structures on Singular Varieties
Introduces quasi-rational singularities and proves an isolated singularity is rational precisely when it is quasi-rational, Du Bois, and certain local mixed Hodge numbers vanish.
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