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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Hyperplane sections of weakly normal varieties in positive characteristic
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by Caterina Cumino, Silvio Greco and Mirella Manaresi PDF
Proc. Amer. Math. Soc. 106 (1989), 37-42 Request permission

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
  • © Copyright 1989 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 106 (1989), 37-42
  • MSC: Primary 14E05; Secondary 14E22
  • DOI: https://doi.org/10.1090/S0002-9939-1989-0953739-9
  • MathSciNet review: 953739