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.
A comparison between compactly supported rigid and D -module cohomology , arXiv:2208.10137, (2022)
2 Pith papers cite this work. Polarity classification is still indexing.
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Constructs p-adic weight spectral sequence for strictly semi-stable schemes over k[[t]] via arithmetic D-modules, with E1 terms from rigid cohomologies of closed fiber components and conjectural E∞ from nearby cycles over the bounded Robba ring.
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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.
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$p$-Adic Weight Spectral Sequences of Strictly Semi-stable Schemes over Formal Power Series Rings via Arithmetic $\mathcal{D}$-modules
Constructs p-adic weight spectral sequence for strictly semi-stable schemes over k[[t]] via arithmetic D-modules, with E1 terms from rigid cohomologies of closed fiber components and conjectural E∞ from nearby cycles over the bounded Robba ring.