The 3-adic eigencurve at the boundary of weight space

作者：Roe David^*

来源：International Journal of Number Theory, 2014, 10(7): 1791-1806.

DOI：10.1142/S1793042114500560

• Eigencurve
• slopes of modular forms
• overconvergent modular forms

This paper generalizes work of Buzzard and Kilford to the case p = 3, giving an explicit bound for the overconvergence of the quotient E-kappa/V(E-kappa) and using this bound to prove that the eigencurve is a union of countably many annuli over the boundary of weight space.

• 出版日期2014-11