Projective surfaces with many skew lines-Reference-Cited by-同舟云学术

Projective surfaces with many skew lines

Published:2004-08-20 Issue:1 Volume:133 Page:11-13
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Rams Sławomir

Abstract

We give an example of a smooth surface S d ⊂ P 3 ( C ) \mathrm {S}_{d}\subset \mathbb {P}_{3}(\mathbb {C}) of degree d d that contains d ⋅ ( d − 2 ) + 2 d \cdot (d-2) + 2 pairwise disjoint lines. In particular, our example shows that the degree in Miyaoka’s bound is sharp.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2005-133-01/S0002-9939-04-07519-7/S0002-9939-04-07519-7.pdf

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