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arxiv: 1208.5826 · v3 · pith:CEDQYRZZnew · submitted 2012-08-29 · 🧮 math.AG

Rationality of the moduli spaces of Eisenstein K3 surfaces

classification 🧮 math.AG
keywords eisensteinmodulispacessurfacesassociatedballclassifiedcomplex
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K3 surfaces with non-symplectic symmetry of order 3 are classified by open sets of twenty-four complex ball quotients associated to Eisenstein lattices. We show that twenty-two of those moduli spaces are rational.

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