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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Hyperplane sections of weakly normal varieties in positive characteristic


Authors: Caterina Cumino, Silvio Greco and Mirella Manaresi
Journal: Proc. Amer. Math. Soc. 106 (1989), 37-42
MSC: Primary 14E05; Secondary 14E22
MathSciNet review: 953739
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Abstract: It is known that the general hyperplane sections of a weakly normal projective algebraic variety are weakly normal if the ground field has characteristic zero. This is shown to be false in positive characteristic; counterexamples can be obtained by intersecting "bad" weakly normal varieties with suitable linear spaces.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1989-0953739-9
PII: S 0002-9939(1989)0953739-9
Keywords: Weakly normal and/or WN1 algebraic varieties, general hyperplane section
Article copyright: © Copyright 1989 American Mathematical Society