Relative log convergent cohomology and relative rigid cohomology III
classification
🧮 math.NT
math.AG
keywords
cohomologyrelativerigidcoefficientconjectureconvergentgenericisocrystals
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In this paper, we prove the generic overconvergence of relative rigid cohomology with coefficient, by using the semistable reduction conjecture for overconvergent $F$-isocrystals (which is recently shown by Kedlaya).
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