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I cleaned up the LaTeX.
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edit approved Jul 26, 2013 at 13:17
Keenan Kidwell
edit approved Jul 26, 2013 at 13:17
Keenan Kidwell
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I am looking for a functor from varieties $X/Z_p$$X/\mathbf{Z}_p$ to (Phi,Gamma)$(\varphi,\Gamma)$-modules over the Robba ring over Q_p$\mathbf{Q}_p$ (overconvergent ones) that is contructed by differential methods (similar to log-crystaline cohomology) not by Galois methods and a twist by a Fontaine ring (would like to avoid, if possible, the use of the field of norms).

I am looking for a functor from varieties $X/Z_p$ to (Phi,Gamma)-modules over the Robba ring over Q_p (overconvergent ones) that is contructed by differential methods (similar to log-crystaline cohomology) not by Galois methods and a twist by a Fontaine ring (would like to avoid, if possible, the use of the field of norms).

I am looking for a functor from varieties $X/\mathbf{Z}_p$ to $(\varphi,\Gamma)$-modules over the Robba ring over $\mathbf{Q}_p$ (overconvergent ones) that is contructed by differential methods (similar to log-crystaline cohomology) not by Galois methods and a twist by a Fontaine ring (would like to avoid, if possible, the use of the field of norms).

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Frederic Paugam
Frederic Paugam
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Natural construction of Hodge (Phi,Gamma)-modules

I am looking for a functor from varieties $X/Z_p$ to (Phi,Gamma)-modules over the Robba ring over Q_p (overconvergent ones) that is contructed by differential methods (similar to log-crystaline cohomology) not by Galois methods and a twist by a Fontaine ring (would like to avoid, if possible, the use of the field of norms).