arXiv:1901.09846math.AG
On isogenies among certain abelian surfaces
Early discovery. Linked by one identifiable commenter. This paper is outside the main ranking; a mention is not an endorsement.
Abstract
We construct a three-parameter family of non-hyperelliptic and bielliptic plane genus-three curves whose associated Prym variety is two-isogenous to the Jacobian variety of a general hyperelliptic genus-two curve. Our construction is based on the existence of special elliptic fibrations with the section on the associated Kummer surfaces that provide a simple geometric interpretation for the rational double cover induced by the two-isogeny between the abelian surfaces.
Related, I feel we need to figure out a way to systematize information in scientific papers to make mining them for cross-cutting insights possible. I suspect there are lots of discoveries hiding in plain sight, if one knew which particular papers from which disciplines touch on…
xyzzyzView on HNParent context