9 problems

Finite-group non-reflection conjecture. Then $V$ does not have the $2$-polarization property.

Let $M$ carry the infinite-dimensional family of $G$-invariant Kähler polarizations, and let $\mathcal{P}_{\mu_{\mathrm{inv}}}$ be a polarization arising at infinite geodesic time…

Let $G$ be a finite group acting on a representation $V$, and let $k$ be a positive integer. Write $\mathbb{C}[V^k]^G$ for the algebra of invariant polynomials on $k$ copies of $V$…

Let $G$ be a finite group acting on a representation $V$, and let $\mathbb{R}[V^2]^G$ denote the algebra of $G$-invariant polynomials on two copies of $V$. Classical polarizations…

Let $f_i: X_i \rightarrow B_i$, $i = 1,2$, be Lagrangian fibrations, and suppose that $X_1$ and $X_2$ are deformation equivalent. Write $d(f_i)$ for the polarization type of $f_i$.…

Nonexistence conjecture. There do not exist regulators of the first type for singular polarizations ${\mathcal P}$ such that there exist points $x\in M$ for which ${\mathcal P}_x$…

Let $\mathfrak H$ be the subgroup of $\operatorname{Sp}(4,\mathbb Z,(1,2))$ defined by … and, assuming the normality conjecture, let … The matrices $S_1$, $S_2$, and…

Let $D_2$ be the diagonal matrix defining the polarization type $(1,2)$, and let $\operatorname{Sp}(4,\mathbb Z,(1,2))$ denote the corresponding polarized symplectic group. Define…

Let $p:C\overset{\pi}{\longrightarrow}C'\overset{g}{\longrightarrow}\mathbb{P}^1$ be a simply ramified $B_n$-covering with $C$ irreducible. Let $\mathfrak{D}_s$ and…