On the averaged colmez conjecture
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 ... 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. …
On the averaged colmez conjecture
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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 of Artin L-functions. The aim of this paper to prove an averaged version of the conjecture, which was also proposed by 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). 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).
Web6 de dez. de 2024 · Speaker: Roy Zhao (University of California Berkeley) Title: Heights on quaternionic Shimura varieties Abstract: We give an explicit formula for the height of a special point on a quaternionic Shimura variety in terms of Faltings heights of CM abelian varieties. This is a generalization of the work of Yuan and Zhang on proving the … Web1 de nov. 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 …
Web1 de nov. de 2024 · Abstract: This is an expository article on the averaged version of Colmez's conjecture, relating Faltings heights of CM abelian varieties to Artin L …
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 … dghh100a016inWebthe 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. dgh group friedrichshafencibc silver and goldWeb1.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 … dgh golfWeb1 de jan. de 2024 · The Colmez conjecture, proposed by Colmez, is a conjecture expressing the Faltings height of a CM abelian variety in terms of some linear … dghguplay2711 gmail.comWeb17 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. cibc simplified prospectusWeb24 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 … dgh hair