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arXiv · 1110.1126

The Segre cubic and Borcherds products

Shigeyuki Kondo
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Abstract

We shall construct a 5-dimensional linear system of holomorphic automorphic forms on a 3-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 3-fold to the Igusa quartic 3-fold.

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Shigeyuki Kondo. 2011-10-06. The Segre cubic and Borcherds products. https://arxiv.org/abs/1110.1126

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