Images of Galois Representations Sample Contracts

License: Licence agreement concerning inclusion of doctoral thesis in the Institutional Repository of the University of Leiden

Images of Galois Representations • October 22nd, 2013

• Contract Type
  Images of Galois Representations
• Filed
  October 22nd, 2013

Using the moduli interpretation for X1(n)FÆ , i.e. considering E/S, an el- liptic curve over an Fl-scheme S, with P and Q respectively points of order m and pr, we give the following description of the degeneracy maps: α is the forgetful map α : (E, P, Q) −→ (E, P, pQ) and Bp is the p-th degeneracy map de ned by Bp : (E, P, Q) '→ (E/⟨pr—1Q⟩, β(P ), β(Q)), where