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An introduction to the algebraic geometry of the Putman-Wieland conjecture (2209.00717v3)

Published 1 Sep 2022 in math.AG and math.GT

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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