On the averaged colmez conjecture
Web6 de dez. de 2024 · Speaker: Roy Zhao (University of California Berkeley) Title: Heights on quaternionic Shimura varieties Abstract: We give an explicit formula for the height of a special point on a quaternionic Shimura variety in terms of Faltings heights of CM abelian varieties. This is a generalization of the work of Yuan and Zhang on proving the … Web14 de dez. de 2024 · We present a conjecture on the average number of Galois orbits of newforms when fixing the weight and varying the level. This conjecture implies, for …
On the averaged colmez conjecture
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WebThe Colmez conjecture is a formula expressing the Faltings height of an abelian variety with complex multiplication in terms of some linear combination of logarithmic derivatives of Artin L-functions. The aim of this paper to prove an averaged version of the conjecture, which was also proposed by Colmez. WebThe Colmez conjecture, proposed by Colmez [Co], is a conjecture expressing the Faltings height of a CM abelian variety in terms of some linear combination of …
WebThe André-Oort conjecture for $\mathcal {A}_g$ ... Benjamin Howard, Keerthi Madapusi Pera. On the averaged Colmez conjecture. Pages 533-638 by Xinyi Yuan, Shou-Wu Zhang. Search for: Online Content on Project Euclid 2024–2024. Online Content on JSTOR 1884--2024. To appear in forthcoming issues. 2024. Web13 de ago. de 2024 · In this article, we show that the hyperbolic Ax–Schanuel conjecture can be used to reduce the Zilber–Pink conjecture for Shimura varieties to a problem of point counting. ... Yuan, X. and Zhang, S.-W., On the averaged Colmez conjecture, Ann. of Math. (2) 187 ...
WebarXiv:1811.00428v1 [math.NT] 1 Nov 2024 ON THE AVERAGED COLMEZ CONJECTURE BENJAMIN HOWARD Abstract. This is an expository article on the averaged version of Colmez’s conjecture, WebThe Colmez conjecture is a formula expressing the Faltings height of an abelian variety with complex multiplication in terms of some linear combination of logarithmic derivatives of Artin L-functions. The aim of this paper to prove an averaged version of the conjecture, which was also proposed by Colmez. en_US: dc.format.extent: 533 - 638: en ...
Web1 de abr. de 2010 · Abstract In this paper, we reinterpret the Colmez conjecture on the Faltings height of $\text{CM}$ abelian varieties in terms of Hilbert (and Siegel) modular forms. We construct an elliptic modular form involving the Faltings height of a $\text{CM}$ abelian surface and arithmetic intersection numbers, and prove that the Colmez …
WebThis is an expository article on the averaged version of Colmez's conjecture, relating Faltings heights of CM abelian varieties to Artin L-functions. It is based on the … new world best medium armor buildWeb27 de set. de 2024 · Download PDF Abstract: The well-known 1-2-3 Conjecture asserts that the edges of every graph without isolated edges can be weighted with $1$, $2$ and $3$ … new world best perks for bowWebWhen d=2, Yang [Yan13] was able to prove Colmez’s conjecture in many cases, including the rst known cases of non-abelian extensions. Our rst main result, stated in the text as Theorem 9.5.5, is the proof of an averaged form of Colmez’s conjecture for a xed E, obtained by averaging both sides of the conjectural formula over all CM types. new world best medium armor comboWebThe Colmez conjecture is a formula expressing the Faltings height of an abelian variety with complex multiplication in terms of some linear combination of logarithmic derivatives … new world best meta 2023Web24 de jul. de 2015 · The Colmez conjecture, proposed by Colmez, is a conjecture expressing the Faltings height of a CM abelian variety in terms of some linear … mike stern band youtubeWeba recently proven \averaged" version of the Colmez conjecture yields lower bounds for Galois orbits of CM points. The Andr e-Oort conjecture then follows from previous work of Pila and the author. 1. Introduction Recall the statement of the Andr e-Oort conjecture: Conjecture 1.1. Let Sbe a Shimura variety, and let V be an irreducible new world best perks for dpsWebAs an application of this result, we prove an averaged version of Colmez's conjecture on the Faltings heights of CM abelian varieties, up to a bounded rational multiple of log(2). new world best mining gear