3 problems

Let $\underline{d}=(d_1,\ldots,d_e)$ be a tuple of positive integers, and let $X_{n,\underline{d}}$ denote the universal complete intersection of type $\underline{d}$ in…

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…