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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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Three-divisible families of skew lines on a smooth projective quintic
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by Sławomir Rams PDF
Trans. Amer. Math. Soc. 354 (2002), 2359-2367 Request permission


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
  • Sławomir 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: and
  • Received by editor(s): December 31, 2000
  • Published electronically: February 7, 2002
  • Additional Notes: This research was supported by DFG contract BA 423/8-1
  • © Copyright 2002 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 354 (2002), 2359-2367
  • MSC (2000): Primary 14M99; Secondary 14E20
  • DOI:
  • MathSciNet review: 1885656