Nakamaye’s theorem on log canonical pairs

Salvatore Cacciola[1]; Angelo Felice Lopez[1]

  • [1] Dipartimento di Matematica e Fisica Università di Roma Tre Largo San Leonardo Murialdo 1 00146, Roma (Italy)

Annales de l’institut Fourier (2014)

  • Volume: 64, Issue: 6, page 2283-2298
  • ISSN: 0373-0956

Abstract

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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.

How to cite

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Cacciola, Salvatore, and Lopez, Angelo Felice. "Nakamaye’s theorem on log canonical pairs." Annales de l’institut Fourier 64.6 (2014): 2283-2298. <http://eudml.org/doc/275501>.

@article{Cacciola2014,
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 $\le 1$. 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.},
affiliation = {Dipartimento di Matematica e Fisica Università di Roma Tre Largo San Leonardo Murialdo 1 00146, Roma (Italy); Dipartimento di Matematica e Fisica Università di Roma Tre Largo San Leonardo Murialdo 1 00146, Roma (Italy)},
author = {Cacciola, Salvatore, Lopez, Angelo Felice},
journal = {Annales de l’institut Fourier},
keywords = {Base loci; log-canonical singularities; non-lc ideal; base loci},
language = {eng},
number = {6},
pages = {2283-2298},
publisher = {Association des Annales de l’institut Fourier},
title = {Nakamaye’s theorem on log canonical pairs},
url = {http://eudml.org/doc/275501},
volume = {64},
year = {2014},
}

TY - JOUR
AU - Cacciola, Salvatore
AU - Lopez, Angelo Felice
TI - Nakamaye’s theorem on log canonical pairs
JO - Annales de l’institut Fourier
PY - 2014
PB - Association des Annales de l’institut Fourier
VL - 64
IS - 6
SP - 2283
EP - 2298
AB - 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 $\le 1$. 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.
LA - eng
KW - Base loci; log-canonical singularities; non-lc ideal; base loci
UR - http://eudml.org/doc/275501
ER -

References

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