Some cases of the Zilber-Pink conjecture for curves in A_g

2022/11/12 by Georgios Papas, Papas, Georgios
Mathematics · Social Sciences · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #Vietnamese History and Culture Studies

paper · pdf · doi:10.48550/arxiv.2211.06763

openalex publication_date 2022/11/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Following our work in \citepapas2022height, we extend the height bounds established by Y. André in his seminal research monograph \citeandre1989g for 1-parameter families of abelian varieties defined over number fields. In our exposition we no longer assume that the family acquires completely multiplicative reduction at some point, as in André's original result. As a corollary of these height bounds, we obtain unconditional results of Zilber-Pink-type for curves in A_g, building upon recent results of C. Daw and M. Orr.

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