Transactions of the American Mathematical Society

Author(s): Michael Nakamaye
Journal: Trans. Amer. Math. Soc. 355 (2003), 551-566.
MSC (2000): Primary 14J17
Posted: October 9, 2002
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Abstract: We introduce a numerical invariant, called a moving Seshadri constant, which measures the local positivity of a big line bundle at a point. We then show how moving Seshadri constants determine the stable base locus of a big line bundle.

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[ELN]: L. Ein, R. Lazarsfeld, and M. Nakamaye, Zero Estimates, Intersection Theory, and a Theorem of Demailly, in Andreatta and Peternell, eds., Higher Dimensional Complex Varieties, de Gruyter, 1996, pp. 183-208. MR 99c:14006
[EV]: H. Esnault and E. Viehweg, Dyson's Lemma for polynomials in several variables (and the Theorem of Roth), Invent. Math., 78, 1984, pp. 445-490. MR 86e:11053
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[N]: M. Nakamaye, Stable Base Loci of Linear Series, Mathematische Annalen, 318, 2000, pp. 837-847. MR 2002a:14008

Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 14J17

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

DOI: 10.1090/S0002-9947-02-03180-X
PII: S 0002-9947(02)03180-X
Received by editor(s): January 16, 2002
Posted: October 9, 2002
Additional Notes: Partially supported by NSF Grant DMS 0070190
Copyright of article: Copyright 2002, American Mathematical Society

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