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math.DG2022★ 6 cited
No semistability at infinity for Calabi-Yau metrics asymptotic to cones
Song Sun, Junsheng Zhang
We discover a "no semistability at infinity" phenomenon for complete Calabi-Yau metrics asymptotic to cones, by eliminating the possible appearance of an intermediate K-semistable…
math.DG2022
Hermitian-Yang-Mills connections on some complete non-compact Kähler manifolds
Junsheng Zhang
We give an algebraic criterion for the existence of projectively Hermitian-Yang-Mills metrics on a holomorphic vector bundle over some complete non-compact Kähler manifolds $(X…