Rationality of the moduli spaces of Eisenstein K3 surfaces

Shouhei Ma; Hisanori Ohashi; Shingo Taki

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arXiv · 1208.5826

Rationality of the moduli spaces of Eisenstein K3 surfaces

Shouhei Ma·Hisanori Ohashi·Shingo Taki

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Abstract

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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Shouhei Ma, Hisanori Ohashi, Shingo Taki. 2012-08-29. Rationality of the moduli spaces of Eisenstein K3 surfaces. https://arxiv.org/abs/1208.5826

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