On a criterion for hyperplane sections
Published online by Cambridge University Press: 24 October 2008
Extract
Throughout this paper we shall fix an algebraically closed field k. Consider the following:
Problem. Let (Y, L) be a normal polarized variety over k, i.e. a normal projective variety Y over k together with an ample line bundle L on Y. Then one may ask under which conditions the following statement holds:
(*) Every normal projective variety X containing Y as an ample Cartier divisor such that the normal bundle of Y in X is L, is isomorphic to the projective cone over Y.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 103 , Issue 1 , January 1988 , pp. 59 - 67
- Copyright
- Copyright © Cambridge Philosophical Society 1988
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