The Segre cubic and Borcherds products

Details The Segre cubic and Borcherds products The Segre cubic and Borcherds products

2011-10-06

arxiv.org/abs/1110.1126v1

Mathematics

Algebraic Geometry

14 pages

Scientific paper

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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