Seshadri constants at very general points

Author:
Michael Nakamaye

Journal:
Trans. Amer. Math. Soc. **357** (2005), 3285-3297

MSC (2000):
Primary 14C20

DOI:
https://doi.org/10.1090/S0002-9947-04-03668-2

Published electronically:
December 28, 2004

MathSciNet review:
2135747

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Abstract | References | Similar Articles | Additional Information

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.

**[EL]**L. Ein, R. Lazarsfeld,*Seshadri constants on smooth surfaces*Asterisque**218**, 1993, pp. 177-186. MR**1265313 (95f:14031)****[ELS]**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)****[EKL]**L. Ein, O. Küchle, R. Lazarsfeld,*Local positivity of ample line bundles*, J. Diff. Geomertry,**42**, 1995, pp. 193-219. MR**1366545 (96m:14007)****[F]**W. Fulton,*Intersection Theory*, Springer, 1984. MR**0732620 (85k:14004)****[FW]**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:
https://doi.org/10.1090/S0002-9947-04-03668-2

Received by editor(s):
September 2, 2003

Received by editor(s) in revised form:
January 8, 2004

Published electronically:
December 28, 2004

Article copyright:
© Copyright 2004
American Mathematical Society