Note on a Geometric Isogeny of K3 Surfaces

Adrian Clingher; Charles F. Doran

doi:10.1093/imrn/rnq230

Note on a Geometric Isogeny of K3 Surfaces

Adrian Clingher, Charles F. Doran

University of Missouri-St. Louis

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

Abstract

The paper establishes a correspondence relating two specific classes of complex algebraic K3 surfaces. The first class consists of K3 surfaces polarized by the rank-sixteen lattice H ⊕ E7 ⊕ E7. The second class consists of K3 surfaces obtained as minimal resolutions of double covers of the projective plane branched over a configuration of six lines. The correspondence underlies a geometric two-isogeny of K3 surfaces.

Original language	American English
Journal	International Mathematics Research Notices
Volume	2011
DOIs	https://doi.org/10.1093/imrn/rnq230
State	Published - Oct 18 2011

Disciplines

Physical Sciences and Mathematics
Mathematics

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10.1093/imrn/rnq230License: Unspecified

Cite this

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title = "Note on a Geometric Isogeny of K3 Surfaces",

abstract = " The paper establishes a correspondence relating two specific classes of complex algebraic K3 surfaces. The first class consists of K3 surfaces polarized by the rank-sixteen lattice H ⊕ E7 ⊕ E7. The second class consists of K3 surfaces obtained as minimal resolutions of double covers of the projective plane branched over a configuration of six lines. The correspondence underlies a geometric two-isogeny of K3 surfaces.",

author = "Adrian Clingher and Doran, {Charles F.}",

note = "The paper establishes a correspondence relating two specific classes of complex algebraic K3 surfaces. The first class consists of K3 surfaces polarized by the rank-sixteen lattice H+E_7+E_7. The second class consists of K3 surfaces obtained as minimal resolutions of double covers of the projective plane branched over a configuration of six lines.",

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PY - 2011/10/18

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N2 - The paper establishes a correspondence relating two specific classes of complex algebraic K3 surfaces. The first class consists of K3 surfaces polarized by the rank-sixteen lattice H ⊕ E7 ⊕ E7. The second class consists of K3 surfaces obtained as minimal resolutions of double covers of the projective plane branched over a configuration of six lines. The correspondence underlies a geometric two-isogeny of K3 surfaces.

AB - The paper establishes a correspondence relating two specific classes of complex algebraic K3 surfaces. The first class consists of K3 surfaces polarized by the rank-sixteen lattice H ⊕ E7 ⊕ E7. The second class consists of K3 surfaces obtained as minimal resolutions of double covers of the projective plane branched over a configuration of six lines. The correspondence underlies a geometric two-isogeny of K3 surfaces.

UR - https://academic.oup.com/imrn/article-abstract/2011/16/3657/807430

U2 - 10.1093/imrn/rnq230

DO - 10.1093/imrn/rnq230

M3 - Article

VL - 2011

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

ER -

Note on a Geometric Isogeny of K3 Surfaces

Abstract

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