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arxiv: 1310.3237 · v3 · pith:KX3756A3new · submitted 2013-10-11 · 🧮 math.NT

Comparison between Rigid and Overconvergent Cohomology with Coefficients

classification 🧮 math.NT
keywords cohomologyoverconvergentcoefficientscomparisonrham-wittrigidblochcharacteristic
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For a smooth scheme over a perfect field of characteristic p>0, we generalise a definition of Bloch and introduce overconvergent de Rham-Witt connections. This provides a tool to extend the comparison morphisms of Davis, Langer and Zink between overconvergent de Rham-Witt cohomology and Monsky-Washnitzer respectively rigid cohomology to coefficients.

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