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.
Pentes en cohomologie rigide et f-isocristaux unipo- tents.manuscripta mathematica, 100(4):455–468
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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.