Multiple point Seshadri constants and the dimension of adjoint linear series

Oliver Küchle

Annales de l'institut Fourier (1996)

  • Volume: 46, Issue: 1, page 63-71
  • ISSN: 0373-0956

Abstract

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In this note multiple point Seshadri constants measuring the positivity of ample line bundles on complex projective varieties at a finite number of points are defined. A lower bound which is asymptotically optimal for a large number of points is proven for the constant at very general points. As an application estimates on the number of sections in adjoint linear systems are deduced.

How to cite

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Küchle, Oliver. "Multiple point Seshadri constants and the dimension of adjoint linear series." Annales de l'institut Fourier 46.1 (1996): 63-71. <http://eudml.org/doc/75175>.

@article{Küchle1996,
abstract = {In this note multiple point Seshadri constants measuring the positivity of ample line bundles on complex projective varieties at a finite number of points are defined. A lower bound which is asymptotically optimal for a large number of points is proven for the constant at very general points. As an application estimates on the number of sections in adjoint linear systems are deduced.},
author = {Küchle, Oliver},
journal = {Annales de l'institut Fourier},
keywords = {dimension of adjoint linear series; positivity of ample line bundles; number of sections; line bundle; multiple point Seshadri constant; very general points},
language = {eng},
number = {1},
pages = {63-71},
publisher = {Association des Annales de l'Institut Fourier},
title = {Multiple point Seshadri constants and the dimension of adjoint linear series},
url = {http://eudml.org/doc/75175},
volume = {46},
year = {1996},
}

TY - JOUR
AU - Küchle, Oliver
TI - Multiple point Seshadri constants and the dimension of adjoint linear series
JO - Annales de l'institut Fourier
PY - 1996
PB - Association des Annales de l'Institut Fourier
VL - 46
IS - 1
SP - 63
EP - 71
AB - In this note multiple point Seshadri constants measuring the positivity of ample line bundles on complex projective varieties at a finite number of points are defined. A lower bound which is asymptotically optimal for a large number of points is proven for the constant at very general points. As an application estimates on the number of sections in adjoint linear systems are deduced.
LA - eng
KW - dimension of adjoint linear series; positivity of ample line bundles; number of sections; line bundle; multiple point Seshadri constant; very general points
UR - http://eudml.org/doc/75175
ER -

References

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  1. [De] J.-P. DEMAILLY, L2-vanishing theorems for positive line bundles and adjunction theory, Prépublication de l'Institut Fourier, Grenoble (1994). 
  2. [EKL] L. EIN, O. KÜCHLE and R. LAZARSFELD, Local positivity of ample line bundles, J. Diff. Geom. (to appear). Zbl0866.14004
  3. [EL] L. EIN and R. LAZARSFELD, Seshadri constants on smooth surfaces, Journées de Géometrie Algébrique d'Orsay, Astérisque, vol. 218 (1993), 177-186. Zbl0812.14027MR95f:14031
  4. [Fu] W. FULTON, Intersection Theory, Springer, 1984. Zbl0541.14005MR85k:14004
  5. [LeTe] M. LEJEUNE-JALABERT and B. TEISSIER, Normal cones and sheaves of relative jets, Comp. Math., vol. 28 (1974), 305-331. Zbl0337.14013MR52 #801

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