On the averaged colmez conjecture
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 …
On the averaged colmez conjecture
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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 … Web24 de set. de 2015 · On the Averaged Colmez Conjecture September 24, 2015 - 04:30 - September 24, 2015 - 05:30. Xinyi Yuan, UC Berkeley. Fine Hall 224. PLEASE NOTE ROOM CHANGE FOR THIS DATE ONLY: FINE 224. The Colmez conjecture expresses the Faltings height of a CM abelian variety in terms of the logarithmic derivatives of …
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. Publication Date: 2024: Citation:
WebOn the averaged Colmez conjecture BenjaminHoward Abstract. This is an expository article on the averaged version of Colmez’s conjecture, relating Faltings heights of CM … 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 · 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 …
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 … north korea axie infinity bankWeb19 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 … how to say language in germanWebFirst let us recall the definition of Faltings heights introduced by Faltings . Let A𝐴Aitalic_A be an abelian variety of dimension g𝑔gitalic_g over a number field K𝐾Kital north korea average heightWeb24 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 … how to say language in swedishWebThis 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 … north korea attack south koreaWebWhen 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. how to say lamb in spanishWeb24 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. … how to say language in dutch