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Zilber-Pink in a product of modular curves assuming multiplicative degeneration

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Daw, C. orcid id iconORCID: https://orcid.org/0000-0002-2488-6729 and Orr, M. (2025) Zilber-Pink in a product of modular curves assuming multiplicative degeneration. Duke Mathematical Journal. ISSN 1547-7398 (In Press)

Abstract/Summary

We prove the Zilber–Pink conjecture for curves in Y(1)^n whose Zariski closure in (P^1)^n passes through the point (∞, . . . , ∞), going beyond the asymmetry condition of Habegger and Pila. Our proof is based on a height bound following André’s G-functions method. The principal novelty is that we exploit relations between evaluations of G-functions at unboundedly many non-archimedean places.

Item Type Article
URI https://reading-clone.eprints-hosting.org/id/eprint/120717
Refereed Yes
Divisions Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Publisher Duke University Press
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