An introduction to the algebraic geometry of the Putman-Wieland conjecture
We give algebraic and geometric perspectives on our prior results toward the Putman-Wieland conjecture. This leads to interesting new constructions of families of "origami" curves whose Jacobians have high-dimensional isotrivial isogeny factors. We also explain how a hyperelliptic analogue of the Putman-Wieland conjecture fails, following work of Markovi\'{c}.
PDF AbstractCategories
Algebraic Geometry
Geometric Topology
14D05, 14H10, 57K20