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An invintation to p-adic differential equations
Get PDFan invitation to the theory of p-adic differential equation
Weights in rigid cohomology applications to unipotent -isocrystals
Get PDFLet X be a smooth scheme defined over a finite field k. We show that the rigid cohomology groups H_rig^i(X) are endowed with a weight filtration with respect to the Frobenius action. This is the crystalline analogue of the etale or classical theory. We apply the previous result to study the weight filtration on the crystalline realization of the mixed motive "(unipotent) fundamental group". We then study unipotent F-isocrystals endowed with weight filtratio
An invitation to p-adic differential equations.
No full textEdited with the help of Gerotto and Sulliva
Logarithmic de Rham, infinitesimal and Betti cohomologies
No full textGiven a log scheme over the complex numbers, Kato and Nakayama were able to associate a topological space . We will use the log infinitesimal site and its structural sheaf ; we will prove an isomorphism . The isomorphism will be obtained using log De Rham cohomological spaces along the lines of Shiho. These results generalize the (ideally) log smooth case of Nakayam
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