On the averaged colmez 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 ... 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 …
On the averaged colmez conjecture
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WebWhen 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. WebWe give a proof of the André-Oort conjecture for $\mathcal {A}_g$ — the moduli space of principally polarized abelian varieties. In particular, we show that a recently proven “averaged” version of the Colmez conjecture yields lower bounds for Galois orbits of CM points. The André-Oort conjecture then follows from previous work of Pila and the author.
WebAbstract. We give a proof of the André-Oort conjecture for A g — the moduli space of principally polarized abelian varieties. In particular, we show that a recently proven “averaged” version of the Colmez conjecture yields lower bounds for Galois orbits of CM points. The André-Oort conjecture then follows from previous work of Pila and ... Web1114-11-142 Xinyi Yuan* ([email protected]), Berkeley, CA 94702. On the Averaged Colmez Conjecture. The Colmez conjecture expresses the Faltings height of a CM abelian variety in terms of the logarithmic derivatives of certain Artin L-functions. In this talk, I will present an averaged version of the conjecture proved in my joint work with
WebOn the averaged Colmez conjecture Download; XML; Annals of Mathematics, a distinguished journal ofresearch papers in pure mathematics, was founded in 1884. Annalsof Mathematics is published bimonthly with the ... 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 …
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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, dia reserve integration officeWebThe 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. cities and towns in rowan county ncWebThe 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 … cities and towns in wyomingWebAs 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). cities and towns in wayne county paWebUsing this, the averaged Colmez conjecture for E can be reduced to the exact Colmez conjecture for (E♯,Φ♯). Admittedly, at the moment this looks less like a reduction and … diarex stone toolsWeb1.J. Tsimerman A proof of the Andre-Oort conjecture for A g, arXiv:1506.01466 [math.NT]. 2.X. Yuan and S. Zhang On the Averaged Colmez Conjecture, arXiv:1507.06903 [math.NT]. Two previous lectures 1.S. Zhang, Equidistributions for torsion points and small points, AG’95, Santa Cruz 2.S. Zhang, Heights of Heegner cycles and derivatives of L … cities and towns near bergenfield njWebThe Colmez conjecture, proposed by Colmez, is a conjecture expressing the Faltings height of a CM abelian variety in terms of some linear combination of logarithmic … dia reserved parking reservations