Unlikely intersections of curves with algebraic subgroups in semiabelian varieties

نویسندگان

چکیده

Abstract Let G be a semiabelian variety and $$C$$ C curve in that is not contained proper algebraic subgroup of . In this situation, conjectures Pink Zilber imply there are at most finitely many points the so-called unlikely intersections with subgroups codimension least 2. note, we establish assertion for general varieties over $$\overline{\mathbb {Q}}$$ Q ¯ This extends results Maurin Bombieri, Habegger, Masser, Zannier toric case as well Habegger Pila abelian case.

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ژورنال

عنوان ژورنال: Selecta Mathematica-new Series

سال: 2023

ISSN: ['1022-1824', '1420-9020']

DOI: https://doi.org/10.1007/s00029-022-00823-w