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Projective surfaces with many skew lines
Author:
Slawomir Rams
Journal:
Proc. Amer. Math. Soc. 133 (2005), 11-13
MSC (2000):
Primary 14J25; Secondary 14J70
Posted:
August 20, 2004
MathSciNet review:
2085146
Full-text PDF Free Access
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Abstract: We give an example of a smooth surface  of degree  that contains  pairwise disjoint lines. In particular, our example shows that the degree in Miyaoka's bound is sharp.
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Additional Information
Slawomir Rams
Affiliation:
Institute of Mathematics UJ, ul. Reymonta 4, 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, rams@im.uj.edu.pl
DOI:
http://dx.doi.org/10.1090/S0002-9939-04-07519-7
PII:
S 0002-9939(04)07519-7
Keywords:
Miyaoka's bound,
skew lines
Received by editor(s):
April 6, 2002
Received by editor(s) in revised form:
August 27, 2003
Posted:
August 20, 2004
Additional Notes:
Partially supported by DFG contract BA 423/8-1 and the Foundation for Polish Science.
Communicated by:
Michael Stillman
Article copyright:
© Copyright 2004 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
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