Biliaison classes of curves in $P^3$

Rosario Strano

Biliaison classes of curves in $P^3$

Algebraic Geometry 2007-05-23 v1

Authors: Rosario Strano

Abstract

We characterize the curves in $P^3$ which are minimal in their biliaison class. Such curves are exactly the curves which do no admit an elementary descending biliaison. As a consequence we have that every curve in $P^3$ can be obtained from a minimal one by means of a finite sequence of ascending elementary biliaisons.

Keywords

curves in p^3 biliaison class minimal curve elementary biliaison

Cite

@article{arxiv.math/0203121,
  title  = {Biliaison classes of curves in $P^3$},
  author = {Rosario Strano},
  journal= {arXiv preprint arXiv:math/0203121},
  year   = {2007}
}

Comments

9 pages

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