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math.NT2025
Ultra-Kolyvagin systems and non-ordinary Selmer groups
David Loeffler, Sarah Livia Zerbes
We develop a machine for bounding Selmer groups of Galois representations via Euler systems in "non-ordinary" settings, using Pottharst's definition of Selmer groups via Robba-ring…
math.NT2025★ 1 cited
Poles of p-adic Asai L-functions and distinguished representations
David Loeffler, Sarah Livia Zerbes
We give a criterion in terms of p-adic Asai L-functions for a cuspidal automorphic representation of GL(2) over a real quadratic field to be a distinguished representation, providi…