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Daigle, Daniel and Melle Hernández, Alejandro
(2012)
*Linear systems of rational curves on rational surfaces.*
Moscow Mathematical Journal, 12
(2).
pp. 261-268.
ISSN 1609-3321

PDF
Restringido a Repository staff only 158kB |

Official URL: http://www.ams.org/distribution/mmj/vol12-2-2012/daigle-melle-hernandez.pdf

URL | URL Type |
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http://www.mathjournals.org/mmj/ | UNSPECIFIED |

## Abstract

Given a curve C on a projective nonsingular rational surface S, over an algebraically closed eld of characteristic zero, we are interested in the set C of linear systems L on S satisfying C 2 L, dimL 1, and the general member of L is a

rational curve. The main result of the paper gives a complete description of C and, in particular, characterizes the curves C for which C is non empty

Item Type: | Article |
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Uncontrolled Keywords: | rational curves; rational surfaces; linear systems; weighted cluster of singular points |

Subjects: | Sciences > Mathematics > Algebraic geometry |

ID Code: | 20763 |

Deposited On: | 12 Apr 2013 13:24 |

Last Modified: | 27 Jun 2018 11:28 |

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