Let p be an odd prime and g ≥ an integer. We prove that a finite slope Siegel cuspidal eigenform of genus g can be p-adically deformed over the g-dimensional weight space. The proof of this theorem relies on the construction of a family of sheaves of locally analytic overconvergent modular forms.
p-adic families of Siegel modular cuspforms / F. Andreatta, A. Iovita, V. Pilloni. - In: ANNALS OF MATHEMATICS. - ISSN 0003-486X. - 181:2(2015), pp. 623-697.
p-adic families of Siegel modular cuspforms
F. AndreattaPrimo
;
2015
Abstract
Let p be an odd prime and g ≥ an integer. We prove that a finite slope Siegel cuspidal eigenform of genus g can be p-adically deformed over the g-dimensional weight space. The proof of this theorem relies on the construction of a family of sheaves of locally analytic overconvergent modular forms.
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