Biliaison classes of curves in $P^3$

Details Biliaison classes of curves in $P^3$ Biliaison classes of curves in $P^3$

2002-03-13

arxiv.org/abs/math/0203121v1

Mathematics

Algebraic Geometry

9 pages

Scientific paper

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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