Finiteness results for hyperbolic orbifold pairs

On May 9, 2025
at 11:00 a.m. (s.t.)
in room WSC-S-U-3.03

Laurine Weibel

will speak on

Finiteness results for hyperbolic orbifold pairs

Abstract: In 1913, De Franchis proved that the number of surjective holomorphic maps from $X$ to $Y$ is finite when $X$ and $Y$ are compact Riemann surfaces and $Y$ has genus at least 2.
This result was extended to higher dimensions by Noguchi for hyperbolic varieties, and Campana established an analogous statement for hyperbolic orbifold curves.
In this talk, we will introduce various notions related to hyperbolicity and orbifolds in order to understand certain finiteness properties of holomorphic maps between hyperbolic varieties or between hyperbolic orbifold pairs, thus generalizing the De Franchis theorem.