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On the complement of a nef and big divisor on an algebraic variety

Published online by Cambridge University Press:  24 October 2008

Francesco Russo
Francesco Russo
Affiliation:
Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, 70700 Bucharest, Romania e-mail address: frusso@imar.ro
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Extract

Let X be an algebraic (complete) variety over a fixed algebraically closed field k. To every Cartier divisor D on X, we can associate the graded k-algebra . As is known, for a semi-ample divisor D, R(X, D) is a finitely generated k-algebra (see [21] or [9]), while this property is no longer true for arbitrary nef and big divisors (see [21]).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 120 , Issue 3 , October 1996 , pp. 411 - 422
Copyright
Copyright © Cambridge Philosophical Society 1996

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References

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