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Addendum to “Incarnations of Berthelot's conjecture” [J. Number Theory 166 (2016) 137–157]

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Abstract By combing Poincare duality for convergent higher direct images of a smooth and proper morphism, together with a theorem of Kedlaya on contagion of overconvergence and de Jong's alterations,… Click to show full abstract

Abstract By combing Poincare duality for convergent higher direct images of a smooth and proper morphism, together with a theorem of Kedlaya on contagion of overconvergence and de Jong's alterations, we show that these higher direct images are overconvergent when the coefficients are by reduction to the projective case.

Keywords: incarnations berthelot; number; number theory; berthelot conjecture; addendum incarnations

Journal Title: Journal of Number Theory
Year Published: 2017

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