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math.AG2012★ 1 cited
P-Adic families of Siegel modular cuspforms
Fabrizio Andreatta, Adrain Iovita, Vincent Pilloni
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 we…
math.AG2009
Partial canonical subgroups
Vincent Pilloni, Benoit Stroh
The reduction of Siegel varieties modulo a prime number p is stratified by the multiplicative rank of the p-divisible group of the universal abelian variety. For r\geq 0 the maxima…