Stable cohomology of the universal degree $d$ hypersurface in ${\mathbb{P}}^n$

Abstract

Let $U_{d,n}^{\ast }$ be the universal degree $d$ hypersurface in ${\mathbb{P}}^n$. In this paper we compute the stable (with respect to $d$) cohomology of $U_{d,n}^{\ast }$ and give a geometric description of the stable classes. This builds on work of Tommasi and Das .