|
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
MathSciNet review:
2135747
Retrieve article in:
PDF
This article is available free of charge
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.
References:
-
- [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)
Similar Articles:
Retrieve articles in Transactions of the American Mathematical
Society
with
MSC (2000):
14C20
Retrieve articles in all Journals with
MSC (2000):
14C20
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
|
