| 発表言語 |
日本語
|
| 開催日 |
2009年09月14日 13時30分
|
| 終了日 |
2009年09月14日 15時00分
|
| 開催場所 | 京都大学理学部3号館 (数学教室) 108号室 |
| セミナー名 | 整数論特別講義 |
| タイトル |
The Manin constant of elliptic curves over function fields |
| 分野 |
代数
|
| 講演者名 | Ambrus Pal |
| 講演者所属 | Imperial College London |
| 概要 | We study the p-adic valuation of the values of normalised Hecke
eigenforms attached to non-isotrivial elliptic curves defined over
function fields of transcendence degree one over finite fields of
characteristic p. We derive upper bounds on the smallest attained
valuation in terms of the minimal discriminant under a certain
assumption on the function field and provide examples to show that
our estimates are optimal. As an application of our results we also
prove the analogue of the degree conjecture unconditionally for
strong Weil curves with square-free conductor defined over function
fields satisfying the assumption mentioned above. |
|