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On Barth’s conjecture concerining

Published online by Cambridge University Press:  22 January 2016

Mihnea Coltoiu
Mihnea Coltoiu*
Affiliation:
Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, RO-70700 Bucharest, Romania
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A classical, still unsolved problem, is the following: is every connected curve A ⊂ P3 a set-theoretic complete intersection? It is clear that if A is a set-theoretic complete intersection then:

a) The algebraic cohomology groups vanish for every coherent algebraic sheaf on P3.

b) The analytic cohomology groups vanish for every coherent analytic sheaf on P3\A.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 145 , March 1997 , pp. 99 - 123
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1997

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