Geometry of arithmetically Gorenstein curves in \mathbb P⁴

2003/01/15 by Robin Hartshorne, Hartshorne, Robin · 3 citations
Mathematics · #14H50 #14M06 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #math.AG #msc:14H50 #msc:14M06

paper · pdf · doi:10.48550/arxiv.math/0301163

15 pages

arxiv created 2003/01/15 · openalex publication_date 2003/01/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We characterize the postulation character of arithmetically Gorenstein curves in \mathbb P⁴. We give conditions under which the curve can be realized in the form mH-K on some ACM surface. Finally, we strengthen a theorem of Watanabe by showing that any general arithmetically Gorenstein curve in \mathbb P⁴ can be obtained from a line by a series of ascending complete-intersection biliaisons.

Cited by

• Generalized Divisors and Biliaison
• Minimal links and a result of Gaeta
• Gorenstein Liaison and ACM Sheaves

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• Experiments with Gorenstein Liaison