A Gross-Kohnen-Zagier theorem for non-split Cartan curves
نویسندگان
چکیده
منابع مشابه
The Gross-kohnen-zagier Theorem in Higher Dimensions
1. Introduction. The Gross-Kohnen-Zagier theorem [GKZ] says roughly that the Heegner divisors of a modular elliptic curve are given by coefficients of a vector-valued modular form of weight 3/2. We give another proof of this (see Theorem 4.5 and Example 5.1), which extends to some more general quotients of hermitian symmetric spaces of dimensions b − and shows that formal power series, whose co...
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ly isomorphic as rings are conjugate in B. 146 BRIAN CONRAD (APPENDIX BY W. R. MANN) Remark A.10. The order ( A mn A A ) in (2) is the intersection of the maximal orders M2(A) and γnM2(A)γ−1 n = ( A mn m−n A ) , where γn = ( 0 πn 1 0 ) . This example is called a standard Eichler order. Proof. For the first part, it suffices to show that the set R of elements of B integral over R is an order. Th...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2020
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2019.10.008