9 problems

Hyperbolicity conjecture for general hypersurfaces. A general hypersurface

Let $P_m$ denote the set of partitions of $m$, let $l(\sigma_m)$ be the length of a partition, and let $C_m^d(\sigma_m)$ be the coefficients associated with partitions in the propo…

Let $X\subseteq\mathbb{P}^{n+1}$ be a degenerate hypersurface admitting an induced additive action, where an induced additive action is an additive action obtained from the ambient…

Let $k>2$, let $V\subset\mathbb{P}^{n}$ be a projective hypersurface with only isolated singular points, and let $d=\deg V$. Huh's finiteness conjecture. For sufficiently large $n$…

Let $V\subset \mathbb{P}^{n}$ be a projective hypersurface with only isolated singularities, defined by a homogeneous polynomial $f$ of degree $d$, and let the polar degree of $V$…

Let $V(h)\subseteq\mathbb{P}^n$ be a projective hypersurface defined by a homogeneous polynomial $h$ of degree $d$, with only isolated singular points, and let its polar degree be…

Let $V(h)\subseteq\mathbb{P}^n$ be a homaloidal hypersurface defined by a homogeneous polynomial $h$ of degree $d\geq 3$, and suppose that $V(h)$ has only isolated singular points.…

Let $M_k^k$ be the degree-$k$ projective hypersurface, let $\tau_k(x)$ and $F_o^k(x)$ be the functions introduced above, and define the mirror map … Write $x(t)$ for its inverse an…

Let $f\in \mathbb{C}[x_0,\ldots,x_n]$ be a reduced homogeneous polynomial, and let $V(f)$ be its associated projective hypersurface. Write $d=\operatorname{deg}(f)$ and let $d(f)$…