A Picard modular fourfold and the Weyl group W(E6)

作者:van Geemen Bert*; Koike Kenji
来源:Communications in Analysis and Geometry, 2015, 23(5): 923-949.
DOI:10.4310/cag.2015.v23.n5.a1

摘要

We study the geometry of a Picard modular fourfold which parametrizes abelian fourfolds of Weil type for the field of cube roots of unity. We find a projective model of this fourfold as a singular, degree ten, hypersurface X in projective 5-space. The Weyl group W(E-6) acts on X and we provide an explicit description of this action. Moreover, we describe various special subvarieties as well as the boundary of X.

  • 出版日期2015-12

全文