On the averaged colmez conjecture
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 ... 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.
On the averaged colmez conjecture
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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 … Web8 de fev. 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 rational multiple of log(2).
Web1.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 … 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 …
WebAs 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). 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 …
Web24 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. …
iron pig columbus ohiohttp://faculty.bicmr.pku.edu.cn/~yxy/preprints/averaged_colmez.pdf iron pig restaurant gaylord michiganWebAbstract. 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 ... port richey city managerWeb24 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 combination of logarithmic derivatives of Artin L-functions. The aim of this paper to prove an averaged version of the conjecture. port richey city hallWeb24 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 … port richey clerk of courtWebThe 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 … iron pigs allentown baseball jobsWebWhen 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. port richey city limits