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arxiv: math/0611205 · v1 · submitted 2006-11-07 · 🧮 math.AG · math.CV

Basic properties of log canonical centers

classification 🧮 math.AG math.CV
keywords canonicalcenterspropertiesbasicelementaryvarieties
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We present the elementary properties of log canonical centers of log varieties.

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  1. A result on the generic Picard number of surfaces in fake weighted projective 3-spaces

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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...