Orateur
Prof.
Remke Kloosterman
Description
In this talk we present a short proof for Cheltsov's result that a nodal hypersurface of degree $d$ in $P^4$ which is not factorial, has at least $(d-1)^2$ nodes. We will discuss how variants of these arguments yields interesting results on the fundamental group of the complement of a singular plane curve and on the Mordell-Weil group of certain abelian varieties over function fields of characteristic zero.
