On the averaged colmez conjecture
Web1 de nov. de 2024 · As 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 … 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:
On the averaged colmez conjecture
Did you know?
WebKEYWORDS: André-Oort, Complex Multiplication, Faltings height, Colmez conjecture, 11G15, 11G18 Read Abstract + We give a proof of the André-Oort conjecture for $\mathcal{A}_g$ --- the moduli space of principally polarized abelian varieties. 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. 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 …
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 … 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.
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 ...
the power of being an allyWeb24 de jul. de 2015 · PDF The Colmez conjecture, proposed by Colmez, ... On the Averaged Colmez Conjecture. Xinyi Y uan and Shou-Wu Zhang. July 27, 2015. … the power of being seenWeb13 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 ... the power of being yourselfWebUsing 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 … the power of being understoodWeb1114-11-142 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 the power of being understood rsmWebWe 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. sierramas heightsWeb27 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 $3$ … sierra mansion hollywood hills