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