Article ID Journal Published Year Pages File Type
4594276 Journal of Number Theory 2012 15 Pages PDF
Abstract

In this paper, we construct for arbitrary reductive group a full eigenvariety, which parameterizes all p-adic overconvergent cohomological eigenforms of the group in the sense of Ash–Stevens and Urban. We also see that the eigenvariety constructed by Eric Urban (2011) [10] is the union of those irreducible components of codimension zero in the eigenvariety we constructed, therefore we can formulate Urbanʼs conjectures.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory