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Biliaison classes of curves in
Authors:Rosario Strano
Affiliation:Department of Mathematics and Informatics, University of Catania, Viale A. Doria 6, I95125 Catania, Italy
Abstract:We characterize the curves in ${mathbf{P}}^{3}$ that are minimal in their biliaison class. Such curves are exactly the curves that do not admit an elementary descending biliaison. As a consequence we have that every curve in ${mathbf{P}}^{3}$ can be obtained from a minimal one by means of a finite sequence of ascending elementary biliaisons.

Keywords:Space curves   liaison   elementary biliaison   minimal curves
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