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arxiv: 1011.1963 · v2 · pith:XRY6H3L7new · submitted 2010-11-09 · 🧮 math.AG

The unirationality of the moduli spaces of 2-elementary K3 surfaces (with an Appendix by Ken-Ichi Yoshikawa)

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keywords spacesmodulisurfacesappendixarithmeticby-productconfigurationdescribe
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We prove that the moduli spaces of K3 surfaces with non-symplectic involutions are unirational. As a by-product we describe configuration spaces of 4<d<9 points in the projective plane as arithmetic quotients of type IV.

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