Abstract
We shall construct a five-dimensional linear system of holomorphic automorphic forms on a three-dimensional complex ball by applying Borcherds theory of automorphic forms. We shall show that this linear system gives the dual map from the Segre cubic threefold to the Igusa quartic threefold.
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Acknowledgements
The author thanks the referee for his useful suggestions. The author was supported in part by JSPS Grant-in-Aid (S), No 22224001, No 19104001.
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Kondō, S. (2013). The Segre Cubic and Borcherds Products. In: Laza, R., Schütt, M., Yui, N. (eds) Arithmetic and Geometry of K3 Surfaces and Calabi–Yau Threefolds. Fields Institute Communications, vol 67. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6403-7_22
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DOI: https://doi.org/10.1007/978-1-4614-6403-7_22
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