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 … Web19 de nov. de 2024 · As applications of the second sum above, we consider the averaged version of Erdős–Turán's conjecture and the equation a + b = c. In particular, we show …
The height of CM points on orthogonal Shimura varieties and Colmez …
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. 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 … clink-echo
(PDF) On the Averaged Colmez Conjecture - ResearchGate
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 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 based on the author’s lectures at the Current Developments in Mathematics conference held at Harvard in 2024. 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. bobby lennox celtic