|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'504'928
Articles rated: 2609
25 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
The Modular number, Congruence number, and Multiplicity One | | Amod Agashe
; | | Date: |
29 Oct 2008 | | Abstract: | Let $N$ be a positive integer and let $f$ be a newform of weight 2 on
$Gamma_0(N)$. In earlier joint work with K. Ribet and W. Stein, we introduced
the notions of the modular number and the congruence number of the quotient
abelian variety $A_f$ of $J_0(N)$ associated to the newform $f$. These
invariants are analogs of the notions of the modular degree and congruence
primes respectively associated to elliptic curves. We show that if $p$ is a
prime such that every maximal ideal of the Hecke algebra of characteristic $p$
that contains the annihilator ideal of $f$ satisfies multiplicity one, then the
modular number and the congruence number have the same $p$-adic valuation. | | Source: | arXiv, 0810.5176 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
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.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER