2 papers
math.NT2017
Irreducible components of the eigencurve of finite degree are finite over the weight space
Shin Hattori, James Newton
Let p be a rational prime and N a positive integer which is prime to p. Let W be the p-adic weight space for GL_{2,Q}. Let C_N be the p-adic Coleman-Mazur eigencurve of tame level…
math.NT2014
Level raising for p-adic Hilbert modular forms
James Newton
This paper generalises previous work of the author to the setting of overconvergent -adic automorphic forms for a definite quaternion algebra over a totally real field. We prove…