The gross-zagier formula on shimura curves
Web11 Nov 2012 · This comprehensive account of the Gross-Zagier formula on Shimura curves over totally real fields relates the heights of Heegner points on abelian varieties to the … WebYun and Zhang have proved a higher derivative version of the Gross-Zagier theorem, but with Heeger points on modular curves replaced by Heegner-Drinfeld cycles on moduli spaces of PGL(2)-Shtukas. I will describe a higher derivative version of Gross-Kohnen-Zagier for these Heegner-Drinfeld cycles. This is joint work with A. Shnidman.
The gross-zagier formula on shimura curves
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WebThis comprehensive account of the Gross-Zagier formula on Shimura curves over totally real fields relates the heights of Heegner points on abelian varieties to ... Web6 Jul 2010 · The aim of this paper is to rework the material in Chapter III of Gross and Zagier's “Heegner points and derivatives of L -series” —see [GZ] in the list of references—based on more systematic deformation-theoretic methods, so as to treat all imaginary quadratic fields, all residue characteristics, and all j -invariants on an equal …
WebAbstract. We give a new proof of Howard’s Λ-adic Gross–Zagier formula [How05], which we extend to the context of indefinite Shimura curves over Qattached to nonsplit quaternion algebras. This formula relates the cyclotomic derivative of a two-variable p-adic L-function Webthe theory of Heegner points, as exempli ed by the seminal work [GZ] of Gross and Zagier. 1.1 The Gross-Zagier formula and its generalizations 1.1.1 Two consequences of the Heegner hypothesis Fix a normalized weight two newform f on 0(N) with trivial nebentypus and rational Hecke eigenvalues. Gross and Zagier consider an imaginary quadratic eld
WebShimura which yields a modular elliptic curve E! as a quotient ofJac(X 0(N)) which is modular and with f ... Gross-Zagier formula computes L!(1,E /K) as the value of a height … WebThe Gross{Zagier formula on Shimura curves. (with Xinyi Yuan, Shou-Wu Zhang), 266 pp., Annals of Mathematics Studies #184, Princeton University Press, 2012, ISBN: 9781400845644. 23. On arithmetic fundamental lemmas. Inventiones Mathematicae, Vol. 188 (2012), Number 1, 197-252. 24. Gross{Zagier formula and arithmetic fundamental …
WebN2 - "This comprehensive account of the Gross-Zagier formula on Shimura curves over totally real fields relates the heights of Heegner points on abelian varieties to the …
WebIndeed the Gross Zagier formula relates the Néron-Tate height of P K to the rst derivative of such a function evaluated at the central critical point s= 1. In Chapter 2 we illustrate a … flight ticket booking online uae to indiahttp://math.columbia.edu/~yihang/GZSeminar.html chesapeake radiology annapolis marylandWeborthogonal Shimura varieties over totally real elds. For applications of our result, we would like to mention our ongoing work on the Gross{Zagier formula [GZ86] and the Gross{Kudla conjecture on triple product L-series [GK92] over totally real elds. Our result is also necessary for extending the work of Kudla et al. [KRY06] to totally real elds. flight ticket booking online offerWeb24 Sep 2014 · Our main result will be a Gross–Zagier-type formula for the central derivative of the convolution L -function of a cusp form of any weight n\ge 2 with a theta series of weight n-1. This formula will involve the intersection multiplicities of special cycles on a unitary Shimura variety. We begin by describing the Shimura variety. flight ticket booking systemWeb6. Proof of Gross-Zagier over Shimura curves 13 Our objective is to develop height theory of algebraic cycles unconditionally for product of Shimura curves and eventually prove the … chesapeake radiology billingWebGross-Zagier Formula on Shimura Curves book. Read reviews from world’s largest community for readers. This comprehensive account of the Gross-Zagier form... chesapeake radiology provider portalWeb3.7. The Gross-Zagier formula 39 3.8. Kolyvagin’s theorem 40 3.9. Proof of the Gross-Zagier-Kolyvagin theorem 40 Further results 41 Exercises 42 Chapter 4. Heegner points … chesapeake radiology defense highway