Space curves that intersect often

Research output: Contribution to journalArticle

3 Citations (Scopus)

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 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
Volume123
Issue number2
StatePublished - 1986
Externally publishedYes

Fingerprint

Space Curve
Intersect
Intersection Theory
Algebraically closed
Codimension
Exceed
Intersection
Curve
Arbitrary

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

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

In: Pacific Journal of Mathematics, Vol. 123, No. 2, 1986, p. 263-267.

Research output: Contribution to journalArticle

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