On the plane section of an integral curve in positive characteristic
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- by Paola Bonacini
- Proc. Amer. Math. Soc. 136 (2008), 2289-2297
- DOI: https://doi.org/10.1090/S0002-9939-08-09271-X
- Published electronically: March 19, 2008
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Abstract:
If $C\subset \mathbb P^3_k$ is an integral curve and $k$ an algebraically closed field of characteristic 0, it is known that the points of the general plane section $C\cap H$ of $C$ are in uniform position. From this it follows easily that the general minimal curve containing $C\cap H$ is irreducible. If char$k=p>0$, 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.References
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Bibliographic Information
- 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
- Received by editor(s): July 26, 2006
- Received by editor(s) in revised form: February 19, 2007
- Published electronically: March 19, 2008
- Communicated by: Ted Chinburg
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 2289-2297
- MSC (2000): Primary 14H50; Secondary 13D40
- DOI: https://doi.org/10.1090/S0002-9939-08-09271-X
- MathSciNet review: 2390494