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A closedness theorem and applications in geometry of rational points over Henselian valued fields

A closedness theorem and applications in geometry of rational points over Henselian valued fields

We develop geometry of algebraic subvarieties of K n over arbitrary Henselian valued fields K of equicharacteristic zero.This is a continuation of our previous article concerned with algebraic geometry over rank one valued fields.At the center of our approach is again the closedness theorem to the effect that the projections …