Biliaison classes of curves in P³

2002/03/13 by Rosario Strano, Strano, Rosario · 1 citation
Engineering · Mathematics · #14H45 #14H50 #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #math.AG #msc:14H45 #msc:14H50

paper · pdf · doi:10.48550/arxiv.math/0203121

9 pages

arxiv created 2002/03/13 · openalex publication_date 2002/03/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We characterize the curves in P³ 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 P³ can be obtained from a minimal one by means of a finite sequence of ascending elementary biliaisons.

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