### 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 |

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### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Pacific Journal of Mathematics*,

*123*(2), 263-267.

**Space curves that intersect often.** / Diaz, Steven P.

Research output: Contribution to journal › Article

*Pacific Journal of Mathematics*, vol. 123, no. 2, pp. 263-267.

}

TY - JOUR

T1 - Space curves that intersect often

AU - Diaz, Steven P

PY - 1986

Y1 - 1986

N2 - 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 P3 (protective three space). A weaker result for Pn is also obtained. We work over any fixed algebraically closed field of arbitrary characteristic.

AB - 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 P3 (protective three space). A weaker result for Pn is also obtained. We work over any fixed algebraically closed field of arbitrary characteristic.

UR - http://www.scopus.com/inward/record.url?scp=84972548940&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84972548940&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84972548940

VL - 123

SP - 263

EP - 267

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

SN - 0030-8730

IS - 2

ER -