2004/02/23 by Christian Böhning, Böhning, Christian
Mathematics · #14J29 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #math.AC #math.AG #msc:14J29
paper · pdf · doi:10.48550/arxiv.math/0402369
40 pages
arxiv created 2004/02/23 · openalex publication_date 2004/02/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper I investigate minimal surfaces of general type with pg=5, q=0 for which the 1-canonical map is a birational morphism onto a surface in P4 (so called canonical surfaces in P4) via a structure theorem for the Hilbert resolutions of the canonical rings of the afore-mentioned surfaces, viewed as Gorenstein algebras of codimension 2 over the homogeneous coordinate ring of P4. I discuss how the ring structure of such an algebra is encoded in its resolution. Among other things I show how this method can be applied to analyze the moduli space of canonical surfaces with pg=5, q=0, K2=11, thus recovering a result previously obtained by D. Rossberg with different techniques.