Science-advisor
REGISTER info/FAQ
Login
username
password
     
forgot password?
register here
 
Research articles
  search articles
  reviews guidelines
  reviews
  articles index
My Pages
my alerts
  my messages
  my reviews
  my favorites
 
 
Stat
Members: 3667
Articles: 2'599'751
Articles rated: 2609

09 February 2025
 
  » arxiv » 1508.0178

 Article overview



Faltings heights of abelian varieties with complex multiplication
Fabrizio Andreatta ; Eyal Z. Goren ; Benjamin Howard ; Keerthi Madapusi Pera ;
Date 2 Aug 2015
AbstractLet M be the Shimura variety associated with the group of spinor similitudes of a rational quadratic space over of signature (n,2). We prove a conjecture of Bruinier-Kudla-Yang, relating the arithmetic intersection multiplicities of special divisors and big CM points on M to the central derivatives of certain $L$-functions.
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).
Source arXiv, 1508.0178
Services Forum | Review | PDF | Favorites   
 
Visitor rating: did you like this article? no 1   2   3   4   5   yes

No review found.
 Did you like this article?

This article or document is ...
important:
of broad interest:
readable:
new:
correct:
Global appreciation:

  Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.






ScienXe.org
» my Online CV
» Free

home  |  contact  |  terms of use  |  sitemap
Copyright © 2005-2025 - Scimetrica