5 problems

Let $M$ be a manifold and let ${\cal R}$ be a set of Ricci-flat metrics on $M$. Denote by $\hat{T}_{\cal R}$ the map assigning to each metric in ${\cal R}$ its Lazzeri Jacobian. Lo…

Let $\mathcal{A}$ be a semi-stable arrangement of $m\geq n+2$ hyperplanes in $\mathbb{P}^n$. Its corresponding configuration of points is a subset of the dual projective space…

Torelli conjecture for opers. The following conditions are equivalent:

Let $C$ be an irreducible nodal plane curve of degree $d$, with $d\geq 4$. A curve is Torelli if it is determined by its associated logarithmic vector bundle $T\langle C\rangle$. G…

Let $C$ be an irreducible nodal plane curve, and call $C$ Torelli if it is determined by its associated logarithmic vector bundle $T\langle C\rangle$ up to the relevant equivalence…