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Biliaison classes of curves in $P^3$

Rosario Strano
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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.

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Rosario Strano. 2002-03-13. Biliaison classes of curves in $P^3$. https://arxiv.org/abs/math/0203121

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