Parallel weight 2 points on Hilbert modular eigenvarieties and the parity conjecture

Let F be a totally real field and let p be an odd prime which is totally split in F. We define and study one-dimensional ‘partial’ eigenvarieties interpolating Hilbert modular forms over F with weight varying only at a single place v above p. For these eigenvarieties, we show that methods developed...

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Bibliographic Details
Main Authors: Newton, J, Johansson, C
Format: Journal article
Language:English
Published: Cambridge University Press 2019