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A connectedness theorem over the spectrum of a formal power series ring

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arxiv 1403.7582 v1 pith:TGBKORLS submitted 2014-03-29 math.AG

A connectedness theorem over the spectrum of a formal power series ring

classification math.AG
keywords connectednessformalpowerringseriesspectrumapplycentre
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study the connectedness of the non-subklt locus over the spectrum of a formal power series ring. In dimension 3, we prove the existence and normality of the smallest lc centre, and apply it to the ACC for minimal log discrepancies greater than 1 on non-singular 3-folds.

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