Base loci of linear series are numerically determined

Author:
Michael Nakamaye

Journal:
Trans. Amer. Math. Soc. **355** (2003), 551-566

MSC (2000):
Primary 14J17

Published electronically:
October 9, 2002

MathSciNet review:
1932713

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Abstract | References | Similar Articles | Additional Information

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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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/S0002-9947-02-03180-X

Received by editor(s):
January 16, 2002

Published electronically:
October 9, 2002

Additional Notes:
Partially supported by NSF Grant DMS 0070190

Article copyright:
© Copyright 2002
American Mathematical Society