Curves on a ruled cubic surface.
Brevik, John ; Mordasini, Francesco
Collectanea Mathematica, Tome 54 (2003), p. 269-281 / Harvested from Biblioteca Digital de Matemáticas
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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 > 10 on S is such a specialization.

Publié le : 2003-01-01
DMLE-ID : 565 
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     title = {Curves on a ruled cubic surface.},
     journal = {Collectanea Mathematica},
     volume = {54},
     year = {2003},
     pages = {269-281},
     zbl = {1051.14037},
     mrnumber = {MR2010789},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:43106}
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Brevik, John; Mordasini, Francesco. Curves on a ruled cubic surface.. Collectanea Mathematica, Tome 54 (2003) pp. 269-281. http://gdmltest.u-ga.fr/item/urn:eudml:doc:43106/