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- W2920702908 abstract "We explicitly construct modular forms on a $4$-dimensional bounded symmetric domain of type $IV$ based on the variation of the Hodge structures of $K3$ surfaces. We study the ring of our modular forms. Because of the Kneser conditions of the transcendental lattice of our family of $K3$ surfaces, our modular group has a good arithmetic property. Also, our results can be regarded as natural extensions of classical Siegel modular forms from the viewpoint of $K3$ surfaces." @default.
- W2920702908 created "2019-03-11" @default.
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- W2920702908 date "2021-01-01" @default.
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- W2920702908 title "Inverse period mappings of K3 surfaces and a construction of modular forms for a lattice with the Kneser conditions" @default.
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- W2920702908 doi "https://doi.org/10.1016/j.jalgebra.2020.07.027" @default.
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