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Seshadri constants at very general points

Author(s): Michael Nakamaye
Journal: Trans. Amer. Math. Soc. 357 (2005), 3285-3297.
MSC (2000): Primary 14C20
Posted: December 28, 2004
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Abstract: We study the local positivity of an ample line bundle at a very general point of a smooth projective variety. We obtain a slight improvement of the result of Ein, Küchle, and Lazarsfeld.

References:

[EL]
L. Ein, R. Lazarsfeld, Seshadri constants on smooth surfaces Asterisque 218, 1993, pp. 177-186. MR 1265313 (95f:14031)

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L. Ein, R. Lazarsfeld, and K. Smith, Uniform bounds and symboic powers on smooth varieties, Inv. Math., 144, 2001, pp. 241-252. MR 1826369 (2002b:13001)

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L. Ein, O. Küchle, R. Lazarsfeld, Local positivity of ample line bundles, J. Diff. Geomertry, 42, 1995, pp. 193-219. MR 1366545 (96m:14007)

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W. Fulton, Intersection Theory, Springer, 1984. MR 0732620 (85k:14004)

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G. Faltings and G. Wüstholz, Diophantine approximations on projective spaces, Inv. math., 116, 1994, pp. 109-138.MR 1253191 (95g:11068)

[N]
M. Nakamaye, Seshadri constants and the geometry of surfaces, J. Reine Angew. Math. 564, 2003, 205-214.MR 2021040

[S]
Y.-T. Siu, Effective very ampleness, Invent. Math., 124, 1996, pp. 563-571. MR 1369428 (97a:32036)

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Additional Information:

Michael Nakamaye
Affiliation: Department of Mathematics and Statistics, University of New Mexico, Albuquerque, New Mexico 87131
Email: nakamaye@math.unm.edu

DOI: 10.1090/S0002-9947-04-03668-2
PII: S 0002-9947(04)03668-2
Received by editor(s): September 2, 2003
Received by editor(s) in revised form: January 8, 2004
Posted: December 28, 2004
Copyright of article: Copyright 2004, American Mathematical Society

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