On the averaged colmez conjecture
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.
On the averaged colmez conjecture
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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, is a conjecture expressing the Faltings height of a CM abelian variety in terms of some linear combination of logarithmic …
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. 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 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.
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 …
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 hubeali calendar 2022WebAs 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). hubday data \u0026 ai for businessWeb24 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. … hubeau apiWeb1.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 … hubday digital hub hamburgWebThe 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, … hubeau rentingWeb1 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 … hubdan kahuluganWebOn the averaged Colmez conjecture BenjaminHoward Abstract. This is an expository article on the averaged version of Colmez’s conjecture, relating Faltings heights of CM … hube parker