Nikulin involutions and the CHL string

Abstract

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.

arXiv comment38 pages, 10 figures

References in corpus (6)

• Compactifications of F-Theory on Calabi--Yau Threefolds -- II
• Compactifications of F-Theory on Calabi--Yau Threefolds -- I
• Toroidal Compactification Without Vector Structure
• Elliptic fibrations on a generic Jacobian Kummer surface
• K3 surfaces, modular forms, and non-geometric heterotic compactifications
• A Note on the Geometry of CHL Heterotic Strings

Cited by in corpus (6)

• Kummer sandwiches and Greene-Plesser construction
• On isogenies among certain abelian surfaces
• On K3 surfaces of Picard rank 14
• On the duality of F-theory and the CHL string in seven dimensions
• Isogenies of certain K3 surfaces of rank 18
• Lost Chapters in CHL Black Holes: Untwisted Quarter-BPS Dyons in the ${\mathbb{Z}}_2$ Model