Asymptotic invariants of base loci

Lawrence Ein[1]; Robert Lazarsfeld[2]; Mircea Mustaţă[3]; Michael Nakamaye[4]; Mihnea Popa[5]

  • [1] University of Illinois at Chicago Department of Mathematics 851 South Morgan Street (M/C 249) Chicago IL 60607-7045 (USA)
  • [2] University of Michigan Department of Mathematics Ann Arbor, MI 48109 (USA)
  • [3] University of Michigan Department of Mathematics Ann Arbor MI 48109 (USA)
  • [4] University of NewMexico Department of Mathematics and Statistics Albuquerque New Mexico 87131 (USA)
  • [5] University of Chicago Department of Mathematics 5734 S. University Av. Chicago IL 60637 (USA)

Annales de l’institut Fourier (2006)

  • Volume: 56, Issue: 6, page 1701-1734
  • ISSN: 0373-0956

Abstract

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The purpose of this paper is to define and study systematically some asymptotic invariants associated to base loci of line bundles on smooth projective varieties. The functional behavior of these invariants is related to the set-theoretic behavior of base loci.

How to cite

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Ein, Lawrence, et al. "Asymptotic invariants of base loci." Annales de l’institut Fourier 56.6 (2006): 1701-1734. <http://eudml.org/doc/10189>.

@article{Ein2006,
abstract = {The purpose of this paper is to define and study systematically some asymptotic invariants associated to base loci of line bundles on smooth projective varieties. The functional behavior of these invariants is related to the set-theoretic behavior of base loci.},
affiliation = {University of Illinois at Chicago Department of Mathematics 851 South Morgan Street (M/C 249) Chicago IL 60607-7045 (USA); University of Michigan Department of Mathematics Ann Arbor, MI 48109 (USA); University of Michigan Department of Mathematics Ann Arbor MI 48109 (USA); University of NewMexico Department of Mathematics and Statistics Albuquerque New Mexico 87131 (USA); University of Chicago Department of Mathematics 5734 S. University Av. Chicago IL 60637 (USA)},
author = {Ein, Lawrence, Lazarsfeld, Robert, Mustaţă, Mircea, Nakamaye, Michael, Popa, Mihnea},
journal = {Annales de l’institut Fourier},
keywords = {Base loci; asymptotic invariants; multiplier ideals; base loci},
language = {eng},
number = {6},
pages = {1701-1734},
publisher = {Association des Annales de l’institut Fourier},
title = {Asymptotic invariants of base loci},
url = {http://eudml.org/doc/10189},
volume = {56},
year = {2006},
}

TY - JOUR
AU - Ein, Lawrence
AU - Lazarsfeld, Robert
AU - Mustaţă, Mircea
AU - Nakamaye, Michael
AU - Popa, Mihnea
TI - Asymptotic invariants of base loci
JO - Annales de l’institut Fourier
PY - 2006
PB - Association des Annales de l’institut Fourier
VL - 56
IS - 6
SP - 1701
EP - 1734
AB - The purpose of this paper is to define and study systematically some asymptotic invariants associated to base loci of line bundles on smooth projective varieties. The functional behavior of these invariants is related to the set-theoretic behavior of base loci.
LA - eng
KW - Base loci; asymptotic invariants; multiplier ideals; base loci
UR - http://eudml.org/doc/10189
ER -

References

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  17. M. Mustaţă, On multiplicities of graded sequences of ideals, J. Algebra 256 (2002), 229-249 Zbl1076.13500MR1936888
  18. M. Nakamaye, Stable base loci of linear series, Math. Ann. 318 (2000), 837-847 Zbl1063.14008MR1802513
  19. M. Nakamaye, Base loci of linear series are numerically determined, Trans. Amer. Math. Soc. 355 (2002), 551-566 Zbl1017.14017MR1932713
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  22. A. Wolfe, Asymptotic invariants of graded systems of ideals and linear systems on projective bundles, (2005) 

Citations in EuDML Documents

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  1. Salvatore Cacciola, Angelo Felice Lopez, Nakamaye’s theorem on log canonical pairs
  2. Alex Küronya, Positivity on subvarieties and vanishing of higher cohomology
  3. Robert Lazarsfeld, Mircea Mustață, Convex bodies associated to linear series
  4. Mattias Jonsson, Mircea Mustaţă, Valuations and asymptotic invariants for sequences of ideals
  5. Huayi Chen, Fonction de Seshadri arithmétique en géométrie d’Arakelov
  6. Shin-ichi Matsumura, Asymptotic cohomology vanishing and a converse to the Andreotti-Grauert theorem on surfaces

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