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...
Huvudupphovsmän: | , , |
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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. |
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