Curves on a ruled cubic surface.

Brevik, John, and Mordasini, Francesco. "Curves on a ruled cubic surface.." Collectanea Mathematica 54.3 (2003): 269-281. <http://eudml.org/doc/43106>.

@article{Brevik2003,
abstract = {For the general ruled cubic surface S (with a double line) in P3 = P3 sub k, k any algebraically closed field, we find necessary conditions for which curves on S can be the specialization of a flat family of curves on smooth cubics. In particular, no smooth curve of degree &gt; 10 on S is such a specialization.},
author = {Brevik, John, Mordasini, Francesco},
journal = {Collectanea Mathematica},
keywords = {Curvas espaciales; Superficies regladas; Divisores; limits of curves; degeneration of cubic surfaces},
language = {eng},
number = {3},
pages = {269-281},
title = {Curves on a ruled cubic surface.},
url = {http://eudml.org/doc/43106},
volume = {54},
year = {2003},
}

TY - JOUR
AU - Brevik, John
AU - Mordasini, Francesco
TI - Curves on a ruled cubic surface.
JO - Collectanea Mathematica
PY - 2003
VL - 54
IS - 3
SP - 269
EP - 281
AB - For the general ruled cubic surface S (with a double line) in P3 = P3 sub k, k any algebraically closed field, we find necessary conditions for which curves on S can be the specialization of a flat family of curves on smooth cubics. In particular, no smooth curve of degree &gt; 10 on S is such a specialization.
LA - eng
KW - Curvas espaciales; Superficies regladas; Divisores; limits of curves; degeneration of cubic surfaces
UR - http://eudml.org/doc/43106
ER -