5 problems

Let $J_{g,h}$ be the universal Jacobian locus in $\mathcal A_{g,h}$, equipped with the Riemannian metric $ds^2_{g,h;A,B}$. Universal geodesic noncontainment conjecture. For a suffi…

Let $J_{g,h}$ be the universal Jacobian locus in $\mathcal A_{g,h}$, equipped with the Riemannian metric $ds^2_{g,h;A,B}$. Universal totally geodesic subvariety conjecture. For a s…

Let $J_g$ be the Jacobian locus in $\mathcal A_g$ and let $\overline J_g$ be its closure. Geodesic noncontainment conjecture. For a sufficiently large integer $g$, there does not e…

Let $J_g$ be the Jacobian locus in $\mathcal A_g$, and let a totally geodesic subvariety mean an irreducible subvariety arising as the image of a totally geodesic subvariety of the…

Let $J_g$ be the Jacobian locus in $\mathcal A_g$, and let $\mathcal S_g$ be the small Schottky–Jung locus, defined as the intersection of the Schottky–Jung loci associated with al…