Nakamaye’s theorem on log canonical pairs
[Le théorème de Nakamaye dans les paires log-canoniques]
Cacciola, Salvatore ; Lopez, Angelo Felice
Annales de l'Institut Fourier, Tome 64 (2014), p. 2283-2298 / Harvested from Numdam
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On propose une généralisation de la description de Nakamaye, par le biais de la théorie d’intersection, du lieu de base augmenté d’un diviseur grand et nef sur une paire normale avec singularités log-canoniques ou, plus généralement, sur une variété avec lieu non-lc de dimension ≤1. On propose aussi une généralisation de la description de Ein-Lazarsfeld-Mustaţă-Nakamaye-Popa, en termes de valuations, des sous-variétés du lieu de base restreint d’un diviseur grand sur une paire normale avec singularités klt.

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 ≤1. We also generalize Ein-Lazarsfeld-Mustaţă-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.

Publié le : 2014-01-01
DOI : https://doi.org/10.5802/aif.2913
Classification:  14C20,  14F18,  14E15,  14B05
Mots clés: lieux de base, singularités log-canoniques, idéaux non-lc 
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     author = {Cacciola, Salvatore and Lopez, Angelo Felice},
     title = {Nakamaye's theorem on log canonical pairs},
     journal = {Annales de l'Institut Fourier},
     volume = {64},
     year = {2014},
     pages = {2283-2298},
     doi = {10.5802/aif.2913},
     zbl = {06387340},
     mrnumber = {3331167},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_2014__64_6_2283_0}
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Cacciola, Salvatore; Lopez, Angelo Felice. Nakamaye’s theorem on log canonical pairs. Annales de l'Institut Fourier, Tome 64 (2014) pp. 2283-2298. doi : 10.5802/aif.2913. http://gdmltest.u-ga.fr/item/AIF_2014__64_6_2283_0/

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