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- W2016282712 abstract "In this short note, we study the geometry of the eigenvariety parametrising p-adic automorphic forms for GL(1) over a number field K, as constructed by Buzzard. We show that if K is not totally real and contains no CM subfield, points in this space arising from classical automorphic forms (i.e. algebraic Grossencharacters of K) are not Zariski-dense in the eigenvariety (as a rigid space); but the eigenvariety posesses a natural formal scheme model, and the set of classical points is Zariski-dense in the formal scheme. We also sketch the theory for GL(2) over an imaginary quadratic field, following Calegari and Mazur, emphasising the strong formal similarity with the case of GL(1) over a general number field." @default.
- W2016282712 created "2016-06-24" @default.
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- W2016282712 date "2011-01-01" @default.
- W2016282712 modified "2023-10-11" @default.
- W2016282712 title "Density of Classical Points in Eigenvarieties" @default.
- W2016282712 cites W2151463592 @default.
- W2016282712 doi "https://doi.org/10.4310/mrl.2011.v18.n5.a15" @default.
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