2006/07/14 by V. Gritsenko, V.A. Gritsenko, K. Hulek +2 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Dimension (graph theory) #Geometry and complex manifolds #Kodaira dimension #Modular equation #Moduli #Moduli of algebraic curves #Moduli space #Projective variety #Variety (cybernetics) #math.AG #msc:11F23 #msc:14D20 #msc:14J10 #msc:14J15 #msc:14J28
paper · pdf · doi:10.1007/s00222-007-0054-1
47 pages
arxiv created 2006/07/14 · openalex publication_date 2007/05/11 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The moduli space of polarised K3 surfaces of degree 2d is a quasi-projective variety of dimension 19. For general d very little has been known about the Kodaira dimension of these varieties. In this paper we present an almost complete solution to this problem. Our main result says that this moduli space is of general type for d>61 and for d=46,50,54,58,60.