2021/02/12 by Edoardo Ballico, Ballico, Edoardo
Mathematics · #14N05 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics
paper · pdf · doi:10.48550/arxiv.2102.06457
openalex publication_date 2021/02/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We give examples of infinitely extendable (not as cones) arithmetically\nCohen-Macaulay and arithmetically Gorenstein subvarieties of projective spaces\nand which are not complete intersections. The proof uses the computation of the\ndimension of the Hilbert scheme of codimension 2 subschemes of projective\nspaces due to G. Ellingsrud and of arithmetically Gorenstein codimension 3\nsubschemes due to J. O. Kleppe and R.-M. Mir 'o-Roig.\n