4 problems

Let $\{(S_d,L_d)\}_{d\in\mathbb N}$ be very general polarized $K3$ surfaces with $L_d^2=2d-2$. Bastianelli–De Poi–Ein–Lazarsfeld–Ullery conjecture. … This predicts that the degrees…

Let $X_d$ be a quasismooth member of one of the eight deformation families numbered textnumero 1, textnumero 19, textnumero 28, textnumero 39, textnumero 49, textnumero 59, textnum…

Let $S_d$ be a very general polarized $K3$ surface with polarization $L_d$ such that $L_d^2=2d-2$, for each $d\in\mathbb N$. Unbounded irrationality conjecture. … The degree of irr…

Let $X\subset \mathbb{P}^n$ be a generic hypersurface of degree $d\geq 2n-1$, and let $\mathrm{d}_r(X)$ denote its degree of irrationality. A dominant rational map is a rational ma…