Nakamaye's theorem on log canonical pairs

Salvatore Cacciola; Angelo Felice Lopez

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arXiv · 1303.7156

Nakamaye's theorem on log canonical pairs

Salvatore Cacciola·Angelo Felice Lopez

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Abstract

We generalize Nakamaye's description, via intersection theory, of the augmented base locus of a big and nef divisor on a normal pair with log-canonical singularities or, more generally, on a normal variety with non-lc locus of dimension at most 1. We also generalize Ein-Lazarsfeld-Mustata-Nakamaye-Popa's description, in terms of valuations, of the subvarieties of the restricted base locus of a big divisor on a normal pair with klt singularities.

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Salvatore Cacciola, Angelo Felice Lopez. 2013-03-28. Nakamaye's theorem on log canonical pairs. https://arxiv.org/abs/1303.7156

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