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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(e) ISSN 0002-9947(p)
     

Three-divisible families of skew lines on a smooth projective quintic

Author(s): Slawomir Rams
Journal: Trans. Amer. Math. Soc. 354 (2002), 2359-2367.
MSC (2000): Primary 14M99; Secondary 14E20.
Posted: February 7, 2002
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Abstract | References | Similar articles | Additional information

Abstract: We give an example of a family of 15 skew lines on a quintic such that its class is divisible by 3. We study properties of the codes given by arrangements of disjoint lines on quintics.


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Additional Information:

Slawomir Rams
Affiliation: Institute of Mathematics, Jagiellon University, Reymonta 4, PL-30-059 Kraków, Poland
Address at time of publication: Mathematisches Institut, FAU Erlangen-Nürnberg, Bismarckstrasse 1 1/2, D-91054 Erlangen, Germany
Email: rams@mi.uni-erlangen.de and rams@im.uj.edu.pl

DOI: 10.1090/S0002-9947-02-02979-3
PII: S 0002-9947(02)02979-3
Keywords: Quintic, cyclic cover, code.
Received by editor(s): December 31, 2000
Posted: February 7, 2002
Additional Notes: This research was supported by DFG contract BA 423/8-1
Copyright of article: Copyright 2002, American Mathematical Society


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