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The overconvergence of morphisms of etale $ϕ - Δ$ -spaces on a local field

Nobuo Tsuzuki — 1996

Compositio Mathematica

A Note on the First Rigid Cohomology Group for Geometrically Unibranch Varieties

Nobuo TSUZUKI — 2012

Rendiconti del Seminario Matematico della Università di Padova

Slope filtration of quasi-unipotent overconvergent $F$ -isocrystals

Nobuo Tsuzuki — 1998

Annales de l'institut Fourier

We study local properties of quasi-unipotent overconvergent $F$ -isocrystals on a curve over a perfect field of positive characteristic $p$ . For a $φ$ - $\nabla$ -module over the Robba ring $ℛ$ , we define the slope filtration for Frobenius structures. We prove that an overconvergent $F$ -isocrystal is quasi-unipotent if and only if it has the slope filtration for Frobenius structures locally at every point on the complement of the curve.

Cohomological descent of rigid cohomology for étale coverings

Bruno Chiarellotto; Nobuo Tsuzuki — 2003

Rendiconti del Seminario Matematico della Università di Padova

On base change theorem and coherence in rigid cohomology.

Tsuzuki, Nobuo — 2003

Documenta Mathematica

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