The gross-zagier formula on shimura curves

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http://davidrenshawhansen.com/gztalk.pdf Web7 Oct 2015 · Title:The p-adic Gross-Zagier formula on Shimura curves. Authors:Daniel Disegni. Download PDF. Abstract:We prove a general formula for the $p$-adic heights of …

The Gross-Zagier Formula on Shimura Curves

Webthe p-adic Gross{Zagier formula, the Gan{Gross{Prasad conjecture, introduction to Kudla’s program, the higher derivative formula of Yun-Zhang over function elds. ... The Gross{Zagier Formula on Shimura Curves. Annals of Mathematics Studies, No. 184, Princeton University Press, 2013. [Zh]W. Zhang: Selmer groups and the indivisibility of ... 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 … bor phoenix area office

The Gross-Zagier Formula on Shimura Curves: (AMS-184)

Web11 Nov 2013 · Briefly speaking, Shimura curves are simply one-dimensional Shimura varieties. I have accomplished my trivial notion task because I have told you a trivial … Web2 Dec 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 … WebRoberts and Bertolini and Darmon (section 5 of ref. 11) have pointed out that the Gross–Zagier formula and the conjecture of Birch and Swinnerton-Dyer imply relations … havermout calorieën 100 gram

MSRI Connections Workshop: Algebraic Cycles, L-Values, and Euler

Heights of Kudla–Rapoport divisors and derivatives of

Web18 Apr 2013 · This p-adic Gross-Zagier formula generalises the result obtained by Perrin-Riou when F=Q and N satisfies the so-called Heegner condition. We deduce applications to both the p-adic and the... WebThe Gross-Zagier Formula on Shimura Curves (1) Xinyi Yuan et al. Contents Contents Chapter Two Weil Representation and Waldspurger Formula Get access. Xinyi Yuan, Xinyi … havermout calorieën per 100 gramWeb2 Dec 2012 · Abstract This comprehensive account of the Gross–Zagier formula on Shimura curves over totally real fields relates the heights of Heegner points on abelian … bor ph

"WebOn the bad reduction of Shimura varieties, M. Rapoport. Representations of Galois groups associated to Hilbert modular forms, Richard Taylor. The Lefschetz trace formula for an … " - The gross-zagier formula on shimura curves

The gross-zagier formula on shimura curves

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 … Web2 Dec 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 derivatives of L-series. The formula will have new applications for the Birch and Swinnerton-Dyer conjecture and Diophantine equations.

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Web7 Oct 2015 · Title:The p-adic Gross-Zagier formula on Shimura curves. Authors:Daniel Disegni. Download PDF. Abstract:We prove a general formula for the p-adic heights of … 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 …

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 WebGross-Zagier Formula on Shimura Curves book. Read reviews from world’s largest community for readers. This comprehensive account of the Gross-Zagier form...

WebThe formula is in terms of the cyclotomic derivative of a Rankin–Selberg $p$ -adic $L$ -function, which we construct. It generalises previous work of Perrin-Riou, Howard, and the … 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 the derivatives of L …

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 … borphosphat strukturWeb2 Dec 2012 · The Gross-Zagier Formula on Shimura Curves will be of great use to students wishing to enter this area and to those already working in … havermout calciumWeborthogonal 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. havermout cake recepthttp://davidrenshawhansen.com/gztalk.pdf havermout carrefourWebThe next two sections contain basic facts about Shimura curves, CM-points, and the Gross-Zagier formula for central derivatives. In particular we de ne Shimura curves of type (N;K) … havermout cassonadeWeb2 Dec 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 … borplast suprimentos industriais imp exp ltdaWebThis 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 derivatives of L … borplast serra