Unpublished Paper
On Hilbert Modular Threefolds Of Discriminant 49
Selecta Mathematica (New Series)
(2012)
Abstract
Let K be the totally real cubic field of discriminant 49 , let \fancyscriptO be its ring of integers, and let p⊂\fancyscriptO be the prime over 7 . Let Γ(p)⊂Γ=SL2(\fancyscriptO) be the principal congruence subgroup of level p . This paper investigates the geometry of the Hilbert modular threefold attached to Γ(p) and some related varieties. In particular, we discover an octic in P3 with 84 isolated singular points of type A2 .
Disciplines
Publication Date
November 9, 2012
Comments
Pre-published version downloaded from archive ArXiv.org. Published version located at http://link.springer.com/article/10.1007%2Fs00029-012-0108-0.
Citation Information
Lev A. Borisov and Paul E. Gunnells. "On Hilbert Modular Threefolds Of Discriminant 49" Selecta Mathematica (New Series) (2012) Available at: http://works.bepress.com/paul_gunnells/37/