The K-semistable degeneration conjecture for Fano threefolds of Family 2.16
The K-semistable degeneration conjecture for Fano threefolds of Family 2.16
Let be a K-semistable -Gorenstein degeneration of a smooth Fano threefold of Family \textnumero 2.16. Degeneration conjecture. is isomorphic to the blow-up of a -complete intersection in along a conic curve. The claim is identified in the source as the most technical step of the proposed description of the K-moduli space; the excerpt does not state whether it has been proved or remains open.
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Primary source
Ivan Cheltsov, DongSeon Hwang, Alex Küronya, Antonio Laface, Frédéric Mangolte, Alex Massarenti, Jihun Park and Junyan Zhao, “On K-stability of Fano's last Fanos”, arXiv:2507.08528 (2026).
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