9 citations · 57 across the 23 of their papers we have counts for
23 papers
Metrics and compactifications of Teichmüller spaces of flat tori
Mark Greenfield, Lizhen Ji
Using the identification of the symmetric space with the Teichmüller space of flat -tori of unit volume, we explore several metrics an…
A new modular characterization of the hyperbolic plane
Mark Greenfield, Lizhen Ji
We develop a natural and geometric way to realize the hyperbolic plane as the moduli space of marked genus 1 Riemann surfaces. To do so, a metric is defined on the Teichmüller spac…
Toric Varieties vs. Horofunction Compactifications of Polyhedral Norms
Lizhen Ji, Anna-Sofie Schilling
We establish a natural and geometric 1-1 correspondence between projective toric varieties of dimension and horofunction compactifications of with respect to rat…
Universal moduli spaces of Riemann surfaces
Lizhen Ji, Juergen Jost
We construct a moduli space for Riemann surfaces that is universal in the sense that it represents compact Riemann surfaces of any finite genus. This moduli space is stratifed acco…
Polyhedral Horofunction Compactification as a Polyhedral Ball
Lizhen Ji, Anna-Sofie Schilling
In this paper we answer positively a question raised by Kapovich and Leeb in a paper titled "Finsler bordifications of symmetric and certain locally symmetric spaces". Specifically…
Actions of the Absolute Galois Group
Norbert A'Campo, Lizhen Ji, Athanase Papadopoulos
We review some ideas of Grothendieck and others on actions of the absolute Galois group Γ Q of Q (the automorphism group of the tower of finite extensions of Q), related to the geo…