engleski

Fields with measure and automorphism

We consider a difference field (K, sigma) such that finite-dimensional definable sets over K can be compared in size, or measured. Let k be the fixed field of the automorphism sigma. We show that curves of genus 1 defined over k are approximately the size of the affine line over k, an 'approximative version' of the Riemann hypothesis for curves of genus 1.

field; measure

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