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The non-induced Kähler–Einstein metrics conjecture for projective embeddings
The paper considers Kähler–Einstein manifolds and the projective space $\mathbb CP^N$ equipped with its canonical Fubini–Study metric $\omega_{FS}$ . A standard holomorphic isometri…
Conjectureopengromov-hausdorff-limits holomorphic-isometries kahler-geometryarXiv posted 2 days ago
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Clozel–Ullmo conjecture on holomorphic isometries from the disk to polydisks
Clozel–Ullmo conjecture. The assumption that the image of the holomorphic isometry is invariant under those automorphisms should be removable; that is, every germ of a holomorphic…
Conjecturerefutedbounded-symmetric-domains complex-geometry holomorphic-isometriesarXiv posted 2 days ago

The non-induced Kähler–Einstein metrics conjecture for projective embeddings