16 citations · 46 across the 13 of their papers we have counts for
5 papers · 1 filter
Line and Hyperplane GT-variants
Florian Pop, Adam Topaz
In this work, we introduce a variant of the Grothendieck-Teichm{ü}ller group, defined in terms of complements of hyperplane arrangements and pro- two-step nilpotent fundament…
Invariant hypersurfaces
Jason Bell, Rahim Moosa, Adam Topaz
The following theorem, which includes as very special cases results of Jouanolou and Hrushovski on algebraic -varieties on the one hand, and of Cantat on rational dynamics on th…
A Torelli Theorem for Higher-Dimensional Function Fields
Adam Topaz
We prove a Torelli-like theorem for higher-dimensional function fields, from the point of view of "almost-abelian" anabelian geometry.
The Galois action on geometric lattices and the mod- I/OM
Adam Topaz
This paper studies the Galois action on a special lattice of geometric origin, which is related to mod- abelian-by-central quotients of geometric fundamental groups of variet…
Reconstructing function fields from rational quotients of mod- Galois groups
Adam Topaz
In this paper, we develop the main step in the global theory for the mod- analogue of Bogomolov's program in birational anabelian geometry for higher-dimensional function fie…