Local Borcherds products

Jan Hendrik Bruinier; Eberhard Freitag

Displaying similar documents to “Local Borcherds products”

On the Kodaira dimension of the moduli space of K3 surfaces

Shigeyuki Kondō (1993)

Compositio Mathematica

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Heights and the central critical values of triple product $L$ -functions

Benedict H. Gross, Stephen S. Kudla (1992)

Compositio Mathematica

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Special values of zeta functions attached to Siegel modular forms

Michael Harris (1981)

Annales scientifiques de l'École Normale Supérieure

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On component groups of Jacobians of Drinfeld modular curves

Mihran Papikian (2004)

Annales de l'Institut Fourier

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Let $J_{0} (𝔫)$ be the Jacobian variety of the Drinfeld modular curve $X_{0} (𝔫)$ over $𝔽_{q} (t)$ , where $𝔫$ is an ideal in $𝔽_{q} [t]$ . Let $0 \to B \to J_{0} (𝔫) \to A \to 0$ be an exact sequence of abelian varieties. Assume $B$ , as a subvariety of $J_{0} (𝔫)$ , is stable under the action of the Hecke algebra $𝕋 \subset$ End $(J_{0} (𝔫))$ . We give a criterion which is sufficient for the exactness of the induced sequence of component groups $0 \to Φ_{B, \infty} \to Φ_{J, \infty} \to Φ_{A, \infty} \to 0$ of the Néron models of these abelian varieties over $𝔽_{q} [[\frac{1}{t}]]$ . This criterion is always satisfied when either $A$ or $B$ is one-dimensional. Moreover, we prove that...

Periods of integrals for $S U (n, 1)$

Stephen S. Kudla (1983)

Compositio Mathematica

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Displaying similar documents to “Local Borcherds products”

On the Kodaira dimension of the moduli space of K3 surfaces

Heights and the central critical values of triple product L -functions

Special values of zeta functions attached to Siegel modular forms

On component groups of Jacobians of Drinfeld modular curves

Periods of integrals for S U ( n , 1 )

Heights and the central critical values of triple product $L$ -functions

Periods of integrals for $S U (n, 1)$