Journal of Algebraic Geometry

Author(s): Chia-Fu Yu
Journal: J. Algebraic Geom. 12 (2003), 653-698.
Posted: July 9, 2003
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Abstract: We study the supersingular locus of Hilbert-Blumenthal four-folds modulo

when

is inert in the totally real field. The dimension, local moduli spaces, number of the irreducible components, and a description of intersections of these components are given. We also show that each irreducible component is a smooth algebraic stack which is a quotient of a ruled surface over ${\mathbf P}^1$ by a finite group.

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