3 problems

Let $X_{2,d}$ be the universal degree-$d$ hypersurface over $\mathbb{P}^2$, and let $\mathbb{P}^2_{\mathrm{stab}}$ denote the stable universal-hypersurface space. Write classes in…

Let $X$ be a smooth projective variety, and let $X_H$ denote the universal hypersurface associated with a sufficiently ample divisor $H$. For each $i$, write…

Let $\overline{\operatorname{M}}_{0,n}$ be the moduli space of stable $n$-pointed rational curves. For an integer $k$ with $1\leq k\leq \dim \overline{\operatorname{M}}_{0,n}-1$, c…