On the complement of a nef and big divisor on an algebraic variety
Published online by Cambridge University Press: 24 October 2008
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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