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- W2043280160 abstract "We make finiteness conjectures on the composite of Hecke fields of classical members of a <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=p> <mml:semantics> <mml:mi>p</mml:mi> <mml:annotation encoding=application/x-tex>p</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-adic analytic family of slope 0 elliptic modular forms in the vertical case (with fixed level varying weight). In the horizontal case (fixed weight varying <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=p> <mml:semantics> <mml:mi>p</mml:mi> <mml:annotation encoding=application/x-tex>p</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-power level), we prove the corresponding statements." @default.
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- W2043280160 date "2010-09-08" @default.
- W2043280160 modified "2023-09-26" @default.
- W2043280160 title "Hecke fields of analytic families of modular forms" @default.
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- W2043280160 doi "https://doi.org/10.1090/s0894-0347-2010-00680-7" @default.
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