Biliaison classes of curves in ${\mathbf {P}}^{3}$
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- by Rosario Strano
- Proc. Amer. Math. Soc. 132 (2004), 649-658
- DOI: https://doi.org/10.1090/S0002-9939-03-07135-1
- Published electronically: July 31, 2003
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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.References
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Bibliographic Information
- Rosario Strano
- Affiliation: Department of Mathematics and Informatics, University of Catania, Viale A. Doria 6, I95125 Catania, Italy
- Email: sstrano@dmi.unict.it
- Received by editor(s): June 10, 2002
- Received by editor(s) in revised form: October 25, 2002
- Published electronically: July 31, 2003
- Additional Notes: This work was done with the financial support of the MIUR (Italian Research Ministry)
- Communicated by: Bernd Ulrich
- © Copyright 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 649-658
- MSC (2000): Primary 14H50; Secondary 14H45
- DOI: https://doi.org/10.1090/S0002-9939-03-07135-1
- MathSciNet review: 2019939