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The Segre cubic and Borcherds products

Authors :
Kondo, Shigeyuki
Publication Year :
2011

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.<br />Comment: 14 pages

Subjects

Subjects :
Mathematics - Algebraic Geometry

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1110.1126
Document Type :
Working Paper