Lev A. Borisov, Paul E. Gunnells
Published 2011-08-08Version 1
Let K be the totally real cubic field of discriminant 49, let O be its ring of integers, and let p be the prime over 7. Let Gamma (p)\subset Gamma = SL_2(O) be the principal congruence subgroup of level p. This paper investigates the geometry of the Hilbert modular threefold attached to Gamma (p) and some related varieties. In particular, we discover an octic in P^3 with 84 isolated singular points of type A_2.
The Distribution of Integers in a Totally Real Cubic Field
On the mod-$p$ distribution of discriminants of $G$-extensions
On the discriminant of elliptic curves with non-trivial torsion
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