3 problems

0 votes0 replies1 view
Kobayashi's approximate Hermitian–Einstein conjecture for closed Kähler manifolds
A holomorphic vector bundle over a closed Kähler manifold is called semistable when it satisfies the usual slope-semistability condition. An approximate Hermitian–Einstein structur…
Conjectureopenhermitian-einstein-metrics holomorphic-vector-bundles kahler-geometryarXiv posted 2 days ago
0 votes0 replies0 views
Bando–Siu convergence conjecture for regularized Hermitian–Einstein metrics
Let $K_{S,\epsilon}$ and $K_{Q,\epsilon}$ be the metrics on the sheaves $\mathcal{S}$ and $\mathcal{Q}$ , respectively, in the regularized construction. Let $\pi^{-1}\Sigma_{alg}$ d…
Conjecturesolvedhermitian-einstein-metrics hermitian-yang-mills-flow sheaf-theoryarXiv posted 2 days ago
0 votes0 replies2 views
Yau's conjecture on canonical Kähler metrics and GIT stability
Yau's conjecture. The existence of canonical Kähler metrics is equivalent to a suitable GIT notion of stability.
Conjectureopengeometric-invariant-theory hermitian-einstein-metrics kahler-geometryarXiv posted 2 days ago

Kobayashi's approximate Hermitian–Einstein conjecture for closed Kähler manifolds