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arxiv: 1004.3335 · v1 · submitted 2010-04-20 · 🧮 math.AG

Note on a Geometric Isogeny of K3 Surfaces

classification 🧮 math.AG
keywords surfacesclassconsistscorrespondencegeometricalgebraicbranchedclasses
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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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