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We use a method of Buzzard to study p-adic families of different types of modular forms classical, over imaginary quadratic fields and totally real fields. In the case of totally real fields of even degree, we get local constancy of dimensions of spaces of fixed slope and varying weight. For imaginary quadratic fields we obtain bounds independent of the… (More)
Shape equations for phospholipid vesicles including a spherical actin cortex are derived<lb>in 2 and 3 spatial dimensions. They arise from the condition of stationarity of the membrane free<lb>energy at fixed area and volume'. Numerical solutions are presented in the 2 dimensional case, while, in<lb>the more involved context of 3 dimensional shapes, the… (More)
We extend previous work of the author using an idea of Buzzard and give an elementary construction of nonordinary p-adic families of Hilbert modular eigenforms.