Elliptic Stark conjectures and exceptional weight one forms

A classical point of the Coleman-Mazur eigencurve is said to be exceptional if the map to weight space is non-´etale at that point. The goal of this paper is to revisit the p-adic elliptic Stark conjecture of [DLR1] concerning a triple (f, g, h) of classical modular forms of weights (2, 1, 1), and e...

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Huvudupphovsmän: Darmon, H, Lauder, A, Rotger, V
Materialtyp: Journal article
Språk:English
Publicerad: Mathematical Sciences Publishers 2024
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Sammanfattning:A classical point of the Coleman-Mazur eigencurve is said to be exceptional if the map to weight space is non-´etale at that point. The goal of this paper is to revisit the p-adic elliptic Stark conjecture of [DLR1] concerning a triple (f, g, h) of classical modular forms of weights (2, 1, 1), and extend it to the setting where the p-stabilised eigenform g corresponds to such an exceptional point.