No semistability at infinity for Calabi–Yau metrics without curvature decay

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Let XX be a complete Calabi–Yau manifold in the setting of Theorem

,withoutassumingquadraticcurvaturedecay.∗∗Nosemistabilityatinfinityconjecture.∗∗Theorem, without assuming quadratic curvature decay. **No semistability at infinity conjecture.** Theorem

should hold without the quadratic curvature decay assumption. This is the expected extension of the paper's main result once the two-step degeneration theory is available in the general setting; it remains open.

References

Primary source

Song Sun and Junsheng Zhang, “No semistability at infinity for Calabi-Yau metrics asymptotic to cones”, arXiv:2208.05098 (2023).

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