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math.NT2019
Geometry of the eigencurve at CM points and trivial zeros of Katz -adic -functions
Adel Betina, Mladen Dimitrov
The primary goal of this paper is to investigate the geometry of the -adic eigencurve at a point corresponding to a weight one cuspidal theta series irregular at the prime n…
math.NT2019
On Siegel eigenvarieties at Saito-Kurokawa points
Tobias Berger, Adel Betina
We study the geometry of the -adic Siegel eigenvariety of paramodular tame level at certain Saito-Kurokawa points having a critical slope. For let b…