### Abstract

In intersection theory one tries to understand X {n-ary intersection} Y in terms of information about how X and Y lie in an ambient variety Z. When the sum of the codimensions of X and Y in Z exceeds the dimension of Z not much is known in this direction. The purpose of this note is to provide some results in perhaps the simplest nontrivial case of this-that of curves in P^{3} (protective three space). A weaker result for P^{n} is also obtained. We work over any fixed algebraically closed field of arbitrary characteristic.

Original language | English (US) |
---|---|

Pages (from-to) | 263-267 |

Number of pages | 5 |

Journal | Pacific Journal of Mathematics |

Volume | 123 |

Issue number | 2 |

State | Published - 1986 |

Externally published | Yes |

### ASJC Scopus subject areas

- Mathematics(all)

## Fingerprint Dive into the research topics of 'Space curves that intersect often'. Together they form a unique fingerprint.

## Cite this

Diaz, S. P. (1986). Space curves that intersect often.

*Pacific Journal of Mathematics*,*123*(2), 263-267.