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Some properties of complete intersections in “good” projective varieties

Published online by Cambridge University Press:  22 January 2016

Lorenzo Robbiano
Lorenzo Robbiano*
Affiliation:
Università de Genova
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In [10] it was proved that, if X denotes a non singular surface which is a complete intersection in (k an algebraically closed field of characteristic 0) and C an irreducible curve on X, which is a set-theoretic complete intersection in X, then C is actually a complete intersection in X; the key point was to show that Pic (X) modulo the subgroup generated by the class of is torsion-free.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 61 , July 1976 , pp. 103 - 111
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1976

References

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