An improved preparation technique for ferroelectric ceramics

Given a p-adic representation of the Galois group of a local field, we show that its Galois cohomology can be computed using the associatedétale (ϕ, Γ)-module over the Robba ring; this is a variant of a result of Herr. We then establish analogues, for not necessarilyétale (ϕ, Γ)-modules over the Robba ring, of the Euler-Poincaré characteristic formula and Tate local duality for p-adic representations. These results are expected to intervene in the duality theory for Selmer groups associated to de Rham representations.

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“…This would extend the work of Bloch-Kato for ordinary representations [6]. See [22] for more details.…”

Section: Introductionmentioning

confidence: 76%

Cohomology and Duality for (φ, Γ)-modules over the Robba Ring

Liu

2007

International Mathematics Research Notices

101

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“…They were piezoelectric, had low acoustic velocities (689/853 m/s), and may be useful in acoustic devices. Pottharst and Schichl developed a method for increasing the density of PZT ceramics to larger than 99.8% of the theoretical value by improved powder preparation and by sintering in an evacuated oven (11). Increases in both the dielectric constant and the piezoelectric coupling factor were observed.…”

Section: Methodsmentioning

confidence: 99%