Hyperplane sections of weakly normal varieties in positive characteristic-Reference-Cited by-同舟云学术

Hyperplane sections of weakly normal varieties in positive characteristic

Published:1989 Issue:1 Volume:106 Page:37-42
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Cumino Caterina,Greco Silvio,Manaresi Mirella

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1989-106-01/S0002-9939-1989-0953739-9/S0002-9939-1989-0953739-9.pdf

Reference15 articles.

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4. N. Bourbaki, Algèbre, Chap. V, Hermann, Paris, 1950.

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