Growth of points on hyperelliptic curves.

Keyes, Christopher.

2018

Description
  • Let C be an algebraic curve over a number field K. Given an extension of K, we say that C gains a point over this extension if it is generated by adjoining the coordinates of some point on C to K. In a recent paper, Mazur and Rubin posed the following question: to what extent does the set of number fields over which a curve gains a point determine the identity of the curve? Motivated by this quest... read more
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