2 problems

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Conjecture on lcK and bi-Hermitian structures for class VII surfaces
Let $S=(M,J)$ be a compact complex surface in class VII. Let ${\mathcal L}$ be a flat holomorphic bundle of real type such that … and … for all $\ell\geq 1$ . Conjecture. Under thes…
Conjectureopenbi-hermitian-geometry complex-surfaces locally-conformal-kaehlerarXiv posted 2 days ago
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Extension of generalized Kähler geometry properties to arbitrary-signature bi-hermitian geometries
Generalized-potential conjecture. Many of the properties of GKG, such as the existence of a generalized potential, should hold for arbitrary-signature bi-hermitian geometries.
Conjectureopenbi-hermitian-geometry generalized-kahler-geometry pseudo-riemannian-geometryarXiv posted 2 days ago

Conjecture on lcK and bi-Hermitian structures for class VII surfaces