Galois structure of modular forms of even weight

Gurel E.

JOURNAL OF NUMBER THEORY, cilt.129, sa.10, ss.2274-2288, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 129 Sayı: 10
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1016/j.jnt.2009.04.005
  • Dergi Adı: JOURNAL OF NUMBER THEORY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2274-2288
  • Orta Doğu Teknik Üniversitesi Adresli: Hayır

Özet

We calculate the equivariant Euler characteristics of powers of the canonical sheaf on certain modular curves over Z which have a tame action of a finite abelian group. As a consequence, we obtain information on the Galois module structure of modular forms of even weight having Fourier coefficients in certain ideals of rings of cyclotomic algebraic integers. (c) 2009 Elsevier Inc. All rights reserved.