Jeroen Sijsling
Ulm University
https://jrsijsling.eu/
Date(s) : 11/02/2021 iCal
11 h 00 min - 12 h 00 min
Let X (resp. Y) be a curve of genus 1 (resp. 2) over a base field k whose characteristic does not equal 2. We give criteria for the existence of a curve Z over k whose Jacobian is up to twist isogenous to the products of the Jacobians of X and Y, and call such a curve a gluing of X and Y.
We also given two methods to determine the curve Z. The first uses interpolation, and also determines the relevant twisting scalar. It can be used to find a Jacobian over QQ that admits a rational 70-torsion point. The second method is more geometrically inspired and exploits the geometry of the Kummer surface of Y.
This is joint work with Jeroen Hanselman and Sam Schiavone.
https://arxiv.org/abs/2005.03587
Meeting ID : 921 9584 8065
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