Space curves that intersect often

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4 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)263-267
Number of pages5
JournalPacific Journal of Mathematics
Issue number2
StatePublished - Jun 1986
Externally publishedYes

ASJC Scopus subject areas

  • General Mathematics


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