Proves semistable reduction for E^dag_K-valued and K-valued overconvergent F-isocrystals on k((t))-varieties, implying finite-dimensionality of compactly supported rigid cohomology.
Rigidification of arithmeticD-modules and an overconvergent riemann- hilbert correspondence
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Semistable Reduction Theorem for Overconvergent $F$-isocrystals over Laurent Series Fields
Proves semistable reduction for E^dag_K-valued and K-valued overconvergent F-isocrystals on k((t))-varieties, implying finite-dimensionality of compactly supported rigid cohomology.