3 citations · 3 across the 2 of their papers we have counts for
7 papers
Positive characteristic Manin-Mumford theorem
Thomas Scanlon
We prove a version of the Manin-Mumford conjecture for semiabelian varieties over fields of positive characteristic. The proof presented here contains the details of the proof sket…
F-structures and integral points on semiabelian varieties over finite fields
Rahim Moosa, Thomas Scanlon
Motivated by the problem of determining the structure of integral points on subvarieties of semiabelian varieties defined over finite fields, we prove a quantifier elimination resu…
Uniformity in the Mordell-Lang conjecture
Thomas Scanlon
We note that Pillay's result on the stability of an algebraically closed field with a predicate for a group of Lang type implies that number uniformity follows formally from the fi…
Meromorphic Groups
Anand Pillay, Thomas Scanlon
We introduce the notion of a meromorphic group, weakening somewhat Fujiki's definition We prove that a meromorphic group is meromorphically an extension of a complex torus by a lin…
Lascar and Morley ranks differ in differentially closed fields
Ehud Hrushovski, Thomas Scanlon
We note here, in answer to a question of Poizat, that the Morley and Lascar ranks need not coincide in differentially closed fields. We approach this through the (perhaps) more fun…
Supersimple fields and division rings
Anand Pillay, Thomas Scanlon, Frank Wagner
It is proved that any supersimple field has trivial Brauer group, and more generally that any supersimple division ring is commutative. As prerequisites we prove several results ab…