Gross – Zagier reading seminar
نویسنده
چکیده
We begin with the same setup as before: Let x be a Heegner point on X0(N), let c be the divisor (x)− (∞), and let d be the divisor (x)− (0). We need to compute the Néron height pairing 〈c, Tmc〉 = 〈c, Tmd〉. We have seen that this global height pairing decomposes into a sum of local height pairings. Andrew computed the local height pairings at the archimedean places two weeks ago; our goal will be to use the theory of canonical lifts to start the case where p is a split prime in K.
منابع مشابه
An Introduction to the Gross-zagier Formula
These are the notes of a talk given by Prof. Dick Gross. The talk was the first one of a graduate student seminar held at Harvard, Fall 2013, and was aimed at providing an introduction to the Gross-Zagier formula and related things from an expert’s perspective. The notes were taken by Yihang Zhu, and he is respondible for any mistakes or inaccuracies. Please contact him at [email protected]...
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