English

The Segre cubic and Borcherds products

Algebraic Geometry 2011-10-07 v1

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.

Cite

@article{arxiv.1110.1126,
  title  = {The Segre cubic and Borcherds products},
  author = {Shigeyuki Kondo},
  journal= {arXiv preprint arXiv:1110.1126},
  year   = {2011}
}

Comments

14 pages

R2 v1 2026-06-21T19:15:49.400Z