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.
               
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