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Mathematics > Algebraic Geometry

arXiv:1805.10242 (math)
[Submitted on 25 May 2018]

Title:Nikulin involutions and the CHL string

Authors:Adrian Clingher, Andreas Malmendier
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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.
Comments: 38 pages, 10 figures
Subjects: Algebraic Geometry (math.AG); High Energy Physics - Theory (hep-th)
MSC classes: 14D0x, 14J28, 81T30
Cite as: arXiv:1805.10242 [math.AG]
  (or arXiv:1805.10242v1 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.1805.10242
Journal reference: Commun. Math. Phys. 370 (2019), no. 3, 959-994
Related DOI: https://doi.org/10.1007/s00220-019-03296-9

Submission history

From: Andreas Malmendier [view email]
[v1] Fri, 25 May 2018 16:38:52 UTC (440 KB)
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