Nikulin Involutions and the CHL String

Adrian Clingher; Andreas Malmendier

doi:10.1007/S00220-019-03296-9

Nikulin Involutions and the CHL String

Adrian Clingher, Andreas Malmendier

University of Missouri-St. Louis

Research output: Contribution to journal › Article › peer-review

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.

Original language	American English
Journal	Communications in Mathematical Physics
Volume	370
DOIs	https://doi.org/10.1007/S00220-019-03296-9 https://doi.org/10.1007/s00220-019-03296-9
State	Published - Jan 23 2019

Disciplines

Physical Sciences and Mathematics
Mathematics
Physics

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10.1007/s00220-019-03296-9License: Unspecified

Cite this

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title = "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. ",

author = "Adrian Clingher and Andreas Malmendier",

note = "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.",

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AU - Clingher, Adrian

AU - Malmendier, Andreas

N1 - 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.

PY - 2019/1/23

Y1 - 2019/1/23

N2 - 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.

AB - 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.

UR - https://link.springer.com/article/10.1007/s00220-019-03296-9

U2 - 10.1007/S00220-019-03296-9

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M3 - Article

VL - 370

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

ER -

Nikulin Involutions and the CHL String

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