Note on a Geometric Isogeny of K3 Surfaces

Details Note on a Geometric Isogeny of K3 Surfaces Note on a Geometric Isogeny of K3 Surfaces

2010-04-20

arxiv.org/abs/1004.3335v1

Mathematics

Algebraic Geometry

Scientific paper

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. The correspondence underlies a geometric two-isogeny of K3 surfaces.

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