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For any prime number p > 3 we compute the formal completion of the Néron model of J0(p) in terms of the action of the Hecke algebra on the Z-module of all cusp forms (of weight 2 with respect to Γ0(p)) with integral Fourier development at infinity.

The global structure of moduli spaces of polarized $p$ -divisible groups.

Viehmann, Eva (2008)

Documenta Mathematica

The Hirzebruch-Mumford volume for the orthogonal group and applications.

Gritsenko, V., Hulek, K., Sankaran, G.K. (2007)

Documenta Mathematica

The modified diagonal cycle on the triple product of a pointed curve

Benedict H. Gross, Chad Schoen (1995)

Annales de l'institut Fourier

Let $X$ be a curve over a field $k$ with a rational point $e$ . We define a canonical cycle $Δ_{e} \in Z^{2} (X^{3})_{hom}$ . Suppose that $k$ is a number field and that $X$ has semi-stable reduction over the integers of $k$ with fiber components non-singular. We construct a regular model of $X^{3}$ and show that the height pairing $⟨ τ_{*} (Δ_{e}), τ_{*}^{'} (Δ_{e}) ⟩$ is well defined where $τ$ and $τ^{'}$ are correspondences. The paper ends with a brief discussion of heights and $L$ -functions in the case that $X$ is a modular curve.

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The automorphism group of the modular curve $X_{0} (63)$

The conjecture of Langlands and Rapoport for certain Shimura varieties of non-rational weight.

The dimension of some affine Deligne–Lusztig varieties

The field of moduli of quaternionic multiplication on abelian varieties.

The formal completion of the Néron model of J0(p).

The global structure of moduli spaces of polarized $p$ -divisible groups.

The Hirzebruch-Mumford volume for the orthogonal group and applications.

The modified diagonal cycle on the triple product of a pointed curve

The Picard group of Siegel modular threefolds.

Torsion points on elliptic curves and q-coeffincients of modular forms.

Torsion points on the modular jacobian $J_{0} (N)$

Travaux de Shimura

Currently displaying 1 – 12 of 12