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- W2745785931 abstract "We prove a conjecture of Medvedev and Scanlon in the case of regular morphisms of semiabelian varieties. That is, if $G$ is a semiabelian variety defined over an algebraically closed field $K$ of characteristic $0$, and $varphicolon Gto G$ is a dominant regular self-map of $G$ which is not necessarily a group homomorphism, we prove that one of the following holds: either there exists a non-constant rational fibration preserved by $varphi$, or there exists a point $xin G(K)$ whose $varphi$-orbit is Zariski dense in $G$." @default.
- W2745785931 created "2017-08-31" @default.
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- W2745785931 date "2017-08-21" @default.
- W2745785931 modified "2023-09-27" @default.
- W2745785931 title "Density of orbits of dominant regular self-maps of semiabelian varieties" @default.
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