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The conjecture that K-stability enables moduli of polarised varieties
K-stability moduli conjecture. K-stability should enable the construction of moduli spaces of polarised varieties in complete generality.
Conjectureopenk-stability moduli-spaces polarised-varietiesarXiv posted 2 days ago
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K-polystable degeneration conjecture for K-semistable polarised varieties
Let $(X,L)$ be a polarised variety. It is K-semistable if its test-configuration invariants satisfy the nonnegativity condition defining K-semistability, and a test configuration f…
Conjectureopenk-stability polarised-varieties test-configurationsarXiv posted 2 days ago

The conjecture that K-stability enables moduli of polarised varieties