3 papers
math.GT2024
The boundary of a totally geodesic subvariety of moduli space
Frederik Benirschke, Benjamin Dozier, John Rached
We consider subvarieties of , the moduli space of genus Riemann surfaces with marked points, that are totally geodesic with respect to the Teichmülle…
math.AG2023
Totally geodesic subvarieties of the moduli space of curves and linear systems
Frederik Benirschke
We construct a linear system on a general curve in a totally geodesic subvariety of the moduli space of curves. As a consequence, we obtain rank bounds for totally geodesic subvari…
math.GT2023
Isometric embeddings of Teichmüller spaces are covering constructions
Frederik Benirschke, Carlos A. Serván
Pulling back complex structures along a branched covering induces a holomorphic isometric embedding of Teichmüller spaces. We show that for dimension at least , all isometric em…