1999/06/30 by Robin Hartshorne, Hartshorne, Robin, Enrico Schlesinger +1
Mathematics · #14C05 #14H10 #14H50 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #math.AG #msc:14C05 #msc:14H10 #msc:14H50
paper · pdf · doi:10.48550/arxiv.math/9906209
20 pages
arxiv created 1999/06/30 · openalex publication_date 1999/06/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study locally Cohen-Macaulay curves in projective three-space which are contained in a double plane 2H, thus completing the classification of curves lying on surfaces of degree two. We describe the irreducible components of the Hilbert schemes of locally Cohen-Macaulay curves in 2H of given degree and arithmetic genus. We show that these Hilbert schemes are connected. We also discuss the Rao modules of these curves, and liaison and biliaison equivalence classes.