On the averaged colmez conjecture

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August undefined, 2024

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, Web24 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 …

On the Colmez conjecture for non-abelian CM fields

WebThe 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 … Web21 de dez. de 2015 · The Colmez conjecture is a formula expressing the Faltings height of an abelian variety with complex multiplication in terms of some linear combination of … north cliff hotel fort bragg

On the averaged Colmez conjecture

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 … 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 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. north cliff house fort bragg

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 … WebColmez’s conjecture has been used by Tsimerman [Ts] to provide an unconditional proof of the Andr e-Ort conjecture for abelian varieties of Hodge type. Around the same time as [AGHMP2] also X. Yuan and S.-W. Zhang [YZ] proved, using di erent techniques, the averaged form of Colmez’s conjecture. 2 The average Colmez conjecture how to reset password on hitron routerWebWe 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. north cliffs cornwall

"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 … " - On the averaged colmez conjecture

On the averaged colmez conjecture

$arXiv:1811.00428v2 [math.NT] 4 Dec 2024$

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 …

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Web24 de set. de 2015 · On the Averaged Colmez Conjecture September 24, 2015 - 04:30 - September 24, 2015 - 05:30. Xinyi Yuan, UC Berkeley. Fine Hall 224. PLEASE NOTE ROOM CHANGE FOR THIS DATE ONLY: FINE 224. The Colmez conjecture expresses the Faltings height of a CM abelian variety in terms of the logarithmic derivatives of … Webthe proof of an averaged version of Colmez's conjecture. This book thus blends initiation to fundamental tools of Arakelov geometry with original material corresponding to current research. This book will be particularly useful for graduate students and researchers interested in the connections between algebraic geometry and number theory.

Web17 de dez. de 2024 · This 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 … 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. Publication Date: 2024: Citation:

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 …

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 ...

Weba 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 how to reset password on jabberWeb14 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 … how to reset password on fitbitWebAbstract. 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 ... how to reset password on gateway laptopWeb17 de dez. de 2024 · This 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 author’s lectures at the Current Developments in Mathematics conference held at Harvard in 2024. how to reset password on iwatch if you forgotWebOn the averaged Colmez conjecture BenjaminHoward Abstract. This is an expository article on the averaged version of Colmez’s conjecture, relating Faltings heights of CM … how to reset password on discordWeb27 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 $3$ … how to reset password on fitbit appWeb24 de jul. de 2015 · Abstract: The Colmez conjecture, proposed by Colmez, is a conjecture expressing the Faltings height of a CM abelian variety in terms of some linear … how to reset password on hotmail