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Height Gap Conjectures, -Finiteness, and Weak Dynamical Mordell-Lang
Jason P. Bell, Fei Hu, Matthew Satriano
In previous work, the first author, Ghioca, and the third author introduced a broad dynamical framework giving rise to many classical sequences from number theory and algebraic com…
Higher arithmetic degrees of dominant rational self-maps
Nguyen-Bac Dang, Dragos Ghioca, Fei Hu +2
Suppose that is a dominant rational self-map of a smooth projective variety defined over . Kawaguchi and Silverman conjecture…
A variant of the Mordell-Lang conjecture
Dragos Ghioca, Fei Hu, Thomas Scanlon +1
The Mordell-Lang conjecture (proven by Faltings, Vojta and McQuillan) states that the intersection of a subvariety of a semiabelian variety defined over an algebraically cl…
Density of orbits of endomorphisms of commutative linear algebraic groups
Dragos Ghioca, Fei Hu
We prove a conjecture of Medvedev and Scanlon for endomorphisms of connected commutative linear algebraic groups defined over an algebraically closed field of char…