On Euler products and residual Eisenstein cohomology classes for Siegel modular varieties.
On J1 (p) and the kernel of the Eisenstein ideal.
On l-adic sheaves on Shimura varieties and their higher direct images in the Baily-Borel compactification.
On modular representations of Gal (.../Q) arising from modular forms.
On non-basic Rapoport-Zink spaces
In this paper we study certain moduli spaces of Barsotti-Tate groups constructed by Rapoport and Zink as local analogues of Shimura varieties. More precisely, given an isogeny class of Barsotti-Tate groups with unramified additional structures, we investigate how the associated (non-basic) moduli spaces compare to the (basic) moduli spaces associated with its isoclinic constituents. This aspect of the geometry of the Rapoport-Zink spaces is closely related to Kottwitz’s prediction that their -adic...
On reduction of Hilbert-Blumenthal varieties
Let be the ring of integers of a totally real field of degree . We study the reduction of the moduli space of separably polarized abelian -varieties of dimension modulo for a fixed prime . The invariants and related conditions for the objects in the moduli space are discussed. We construct a scheme-theoretic stratification by -types on the Rapoport locus and study the relation with the slope stratification. In particular, we recover the main results of Goren and Oort [J. Alg. Geom.,...
On the ?-adic representations associated to some simple Shimura varieties.
On the arithmetic of an elliptic curve over a -extension
On the cuspidal divisor class group of a Drinfeld modular curve.
On the Fourier coefficients of modular forms. II.
On the Geometry of a Siegel Modular Threefold.
On the l-adic cohomology of Siegel threefolds.
On the p-adic periods of X...(p).
On the reduction of the Hilbert-Blumenthal-moduli scheme with ...(p)-level structure.
On torsion in J₁(N)
On torsion in J₁(N), II
Optimal levels for modular mod 2 representations over totally real fields.
Ordinariness in good reductions of Shimura varieties of PEL-type