Proceedings of the American Mathematical Society

Author(s): Paola Bonacini
Journal: Proc. Amer. Math. Soc. 136 (2008), 2289-2297.
MSC (2000): Primary 14H50; Secondary 13D40
Posted: March 19, 2008
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Abstract: If $C\subset \mathbb{P}^3_k$ is an integral curve and

an algebraically closed field of characteristic 0, it is known that the points of the general plane section $C\cap H$ of

are in uniform position. From this it follows easily that the general minimal curve containing $C\cap H$ is irreducible. If char

, the points of $C\cap H$ may not be in uniform position. However, we prove that the general minimal curve containing $C\cap H$ is still irreducible.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 14H50, 13D40

Paola Bonacini
Affiliation: Dipartimento di Matematica e Informatica, Università degli Studi di Catania, Viale A. Doria 6, 95125 Catania, Italy
Email: bonacini@dmi.unict.it

DOI: 10.1090/S0002-9939-08-09271-X
PII: S 0002-9939(08)09271-X
Keywords: Integral curve, plane section, minimal curve, positive characteristic
Received by editor(s): July 26, 2006,
Received by editor(s) in revised form: February 19, 2007
Posted: March 19, 2008
Communicated by: Ted Chinburg
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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