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arXiv · 1212.3812

P-Adic families of Siegel modular cuspforms

Fabrizio Andreatta·Adrain Iovita·Vincent Pilloni
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Abstract

Let p be an odd prime and g an integer greater or equal to 2. 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 result relies on the construction of a family of sheaves of locally analytic overconvergent modular forms.

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Fabrizio Andreatta, Adrain Iovita, Vincent Pilloni. 2012-12-16. P-Adic families of Siegel modular cuspforms. https://arxiv.org/abs/1212.3812

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