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arXiv · 2403.05481

The Zilber--Pink conjecture for products of curves with highly degenerate reduction

Netan Dogra
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Abstract

We give a proof of the Zilber--Pink conjecture for $n$-fold self-products of a curve $X$ inside the self-product of its Jacobian, when $X$ has appropriate bad reduction, its Jacobian has no extra endomorphisms, and $n$ is sufficiently small. The strategy of proof follows the work of Katz, Rabinoff and Zureick-Brown on explicit Manin--Mumford bounds.

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Netan Dogra. 2024-03-08. The Zilber--Pink conjecture for products of curves with highly degenerate reduction. https://arxiv.org/abs/2403.05481

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