Maps to weight space in Hida families

Ravi Ramakrishna ()
Additional contact information
Ravi Ramakrishna: Cornell University

Indian Journal of Pure and Applied Mathematics, 2014, vol. 45, issue 5, 759-776

Abstract: Abstract Let $$\bar \rho$$ be a two-dimensional F p -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.

Keywords: Galois representation; modular form; Hida theory (search for similar items in EconPapers)
Date: 2014
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s13226-014-0087-2 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:indpam:v:45:y:2014:i:5:d:10.1007_s13226-014-0087-2

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/13226

DOI: 10.1007/s13226-014-0087-2

Access Statistics for this article

Indian Journal of Pure and Applied Mathematics is currently edited by Nidhi Chandhoke

More articles in Indian Journal of Pure and Applied Mathematics from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().