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math.DG2026
Extremal Sasaki manifolds and weighted K-stability
Simon Jubert, Chung-Ming Pan
We remove the log-concavity assumption on the weight in the analytic weighted Yau--Tian--Donaldson correspondence established in [arXiv:2406.10939, arXiv:2407.09929, arXiv:2503.221…
math.DG2026
New extremal Kähler metrics on projective bundles
Simon Jubert
Consider a holomorphic vector bundle over a compact complex curve which decomposes as a sum of stable vector bundles. For the projectivization , we prove tha…
math.DG2026
Relative uniform Yau--Tian--Donaldson correspondence for projective bundles over a curve
Simon Jubert, Chenxi Yin
This paper is concerned with a relative uniform Yau--Tian--Donaldson correspondence, in terms of test configurations, for the projectivization \( \mathbb{P}(E) \) of a holomorphic…