Motivated by the relation between (twisted) K3 surfaces and special cubic fourfolds, we construct moduli spaces of polarized twisted K3 surfaces of any fixed degree and order. We do this by mimicking the construction of the moduli space of untwisted polarized K3 surfaces as a quotient of a bounded symmetric domain.

中文翻译：

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扭曲 K3 曲面和三次四重曲面的模空间

受（扭曲的）K3 曲面和特殊三次四重曲面之间的关系的启发，我们构造了任意固定阶数和阶数的极化扭曲 K3 曲面的模空间。我们通过模拟未扭曲极化 K3 表面的模空间的构造作为有界对称域的商来做到这一点。