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arxiv: 0709.0332 · v4 · submitted 2007-09-04 · 🧮 math.AG

Effective base point free theorem for log canonical pairs--Koll\'ar type theorem

classification 🧮 math.AG
keywords theorembasecanonicaleffectivefreepointkollpairs
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We prove Koll\'ar's effective base point free theorem for log canonical pairs.

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    A criterion is established for generic nondegenerate surfaces in fake weighted projective 3-spaces to have Picard number >1 via edge degenerations, genus tracking, and vanishing cohomology classes yielding an extra ra...