2018/05/25 by Adrian Clingher, Andreas Malmendier · 1 citation
Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Context (archaeology) #Elliptic curve #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Jacobian matrix and determinant #Rank (graph theory) #String (physics) #hep-th #math.AG #msc:14D0x #msc:14J28 #msc:81T30
paper · pdf · doi:10.1007/s00220-019-03296-9
published as Commun. Math. Phys. 370 (2019), no. 3, 959-994 · 38 pages, 10 figures
arxiv created 2018/05/25 · openalex created_date 2018/06/01 · openalex publication_date 2019/01/23 · arxiv updated 2019/08/29 · openalex updated_date 2026/08/05
We study certain even-eight curve configurations on a specific class of Jacobian elliptic K3 surfaces with lattice polarizations of rank ten. These configurations are associated with K3 double covers, some of which are elliptic but not Jacobian elliptic. Several non-generic cases corresponding to K3 surfaces of higher Picard rank are also discussed. Finally, the results and the construction in question are interpreted in the context of the string dualities linked with the eight-dimensional CHL string.