Homogeneous Spaces and Degree 4 del Pezzo Surfaces.
It is known that, given a genus 2 curve C : y^2 = f(x), where f(x) is quintic and defined over a field K, of characteristic different from 2, and given a homogeneous space H_delta for complete 2-descent on the Jacobian of C, there is a V_delta (which we shall describe), which is a degree 4 del Pezzo surface defined over K, such that H_delta(K) nonempty implies V_delta(K) nonempty. We shall prove that every degree 4 del Pezzo surface V, defined over K, arises in this way; furthermore, we shall...Expand abstract
- Publication date:
- Local pid:
- Copyright date:
Views and Downloads
If you are the owner of this record, you can report an update to it here: Report update to this record