Finite Weil restriction of curves
Flynn, E. V. · Testa, D.
Original · EN
Given number fields L ⊃ K, smooth projective curves C defined over L and B defined over K, and a non-constant L-morphism h C → Bₗ,we consider the curve Cₕ defined over K whose K-rational points parametrize the L-rational points on C whose images under h are defined over K. Our construction provides a framework which includes as a special case that used in Elliptic Curve Chabauty techniques and their higher genus versions. The set Cₕ(K) can be infinite only when C has genus at most 1; we analyze completely the case when C has genus 1.
English translation
This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.