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arXiv · 2209.00717

An introduction to the algebraic geometry of the Putman-Wieland conjecture

Aaron Landesman·Daniel Litt
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Abstract

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}.

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Aaron Landesman, Daniel Litt. 2022-09-01. An introduction to the algebraic geometry of the Putman-Wieland conjecture. https://doi.org/10.1007/s40879-023-00637-w

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