We p-adically interpolate modular invertible sheaves over a strict neighborhood of the ordinary locus of an Hilbert modular variety. We then prove the existence of finite slope families of cuspidal eigenforms.
On overconvergent Hilbert modular cusp forms / F. Andreatta, A. Iovita, V. Pilloni. - In: ASTÉRISQUE. - ISSN 0303-1179. - 382:(2016 Oct), pp. 163-193.
On overconvergent Hilbert modular cusp forms
F. AndreattaPrimo
;
2016
Abstract
We p-adically interpolate modular invertible sheaves over a strict neighborhood of the ordinary locus of an Hilbert modular variety. We then prove the existence of finite slope families of cuspidal eigenforms.
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