# Curves on a ruled cubic surface.

John Brevik; Francesco Mordasini

Collectanea Mathematica (2003)

- Volume: 54, Issue: 3, page 269-281
- ISSN: 0010-0757

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topBrevik, 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 > 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 > 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 -

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