17 citations · 83 across the 33 of their papers we have counts for
6 papers · 1 filter
Skew-invariant curves and the algebraic independence of Mahler functions
Alice Medvedev, Khoa Dang Nguyen, Thomas Scanlon
For a positive rational number different from one, we say that the Puisseux series is -Mahler of n…
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…
The Dynamical Mordell-Lang Conjecture for endomorphisms of semiabelian varieties defined over fields of positive characteristic
Pietro Corvaja, Dragos Ghioca, Thomas Scanlon +1
Let K be an algebraically closed field of prime characteristic p, let X be a semiabelian variety defined over a finite subfield of K, let f be a regular self-map on X defined over…
Density of orbits of endomorphisms of abelian varieties
Dragos Ghioca, Thomas Scanlon
Let be an abelian variety defined over , and let be a dominant endomorphism of as an algebraic variety. We prove that either there exists a non-consta…
Algebraic equations on the adelic closure of a Drinfeld module
Dragos Ghioca, Thomas Scanlon
Let be a field of positive characteristic and a function field of a variety over and let be a ring of adéles of with respect to a cofinit…
Difference subgroups of commutative algebraic groups over finite fields
Thomas Scanlon, José Felipe Voloch
The work of Chatzidakis and Hrushovski on the model theory of difference fields in characteristic zero showed that groups defined by difference equations have a very restricted str…