Journal article icon

Journal article

Homogeneous Spaces and Degree 4 del Pezzo Surfaces.

Abstract:

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

Actions


Access Document


Files:

Authors


E. V. Flynn More by this author
Publication date:
2009
URN:
uuid:5f634b4d-8dde-48c7-af9b-a814bbbd02fd
Local pid:
oai:eprints.maths.ox.ac.uk:803

Terms of use


Metrics



If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP