We construct adic, compactified eigenvarieties parameterizing adic overconvergent Hilbert modular eigenforms of finite slope by constructing integral families of modular sheaves on the relevant formal Shimura schemes.
The adic, cuspidal, Hilbert eigenvarieties / F. Andreatta, A. Iovita, V. Pilloni. - In: RESEARCH IN THE MATHEMATICAL SCIENCES. - ISSN 2197-9847. - 3(2016 Sep). [10.1186/s40687-016-0076-7]
The adic, cuspidal, Hilbert eigenvarieties
F. AndreattaPrimo
;
2016
Abstract
We construct adic, compactified eigenvarieties parameterizing adic overconvergent Hilbert modular eigenforms of finite slope by constructing integral families of modular sheaves on the relevant formal Shimura schemes.
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