Generic rank of Betti map and unlikely intersections
Z Gao - Compositio Mathematica, 2020 - cambridge.org
Compositio Mathematica, 2020•cambridge.org
Let satisfies some conditions); it is an important step to prove the bound for the number of
rational points on curves (Dimitrov et al., Uniformity in Mordell–Lang for Curves, Preprint
(2020), arXiv: 2001.10276). Another application is to answer a question of André, Corvaja
and Zannier and improve a result of Voisin. We also systematically study its link with the
relative Manin–Mumford conjecture, reducing the latter to a simpler conjecture. Our tools are
functional transcendence and unlikely intersections for mixed Shimura varieties.
rational points on curves (Dimitrov et al., Uniformity in Mordell–Lang for Curves, Preprint
(2020), arXiv: 2001.10276). Another application is to answer a question of André, Corvaja
and Zannier and improve a result of Voisin. We also systematically study its link with the
relative Manin–Mumford conjecture, reducing the latter to a simpler conjecture. Our tools are
functional transcendence and unlikely intersections for mixed Shimura varieties.
Let satisfies some conditions); it is an important step to prove the bound for the number of rational points on curves (Dimitrov et al., Uniformity in Mordell–Lang for Curves, Preprint (2020), arXiv:2001.10276). Another application is to answer a question of André, Corvaja and Zannier and improve a result of Voisin. We also systematically study its link with the relative Manin–Mumford conjecture, reducing the latter to a simpler conjecture. Our tools are functional transcendence and unlikely intersections for mixed Shimura varieties.
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