Maps to weight space in Hida families
Autor: | Ravi Ramakrishna |
---|---|
Rok vydání: | 2014 |
Předmět: | |
Zdroj: | Proceedings of Indian National Science Academy, Vol 45, Iss 5 (2014) |
ISSN: | 0975-7465 0019-5588 |
DOI: | 10.1007/s13226-014-0087-2 |
Popis: | Let \(\bar \rho\) be a two-dimensional Fp-valued representation of the absolute Galois group of the rationals. Suppose \(\bar \rho\) is odd, absolutely irreducible and ordinary at p. Then we show that \(\bar \rho\) arises from the irreducible component of a Hida family (of necessarily greater level than that of \(\bar \rho\)) whose map to weight space, including conjugate forms, has degree at least 4. |
Databáze: | OpenAIRE |
Externí odkaz: |