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The Yau-Tian-Donaldson Conjecture for General Polarizations, I

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Publication:2819652
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DOI10.1007/978-4-431-56021-0_13zbMath1356.32010arXiv1307.3623OpenAlexW2102136496MaRDI QIDQ2819652

Toshiki Mabuchi

Publication date: 29 September 2016

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.3623


zbMATH Keywords

Kähler metricsbalanced metricsYau-Tian-Donaldson conjecturestrong K-stability


Mathematics Subject Classification ID

Kähler manifolds (32Q15) Notions of stability for complex manifolds (32Q26)


Related Items (2)

An \(\ell\)-th root of a test configuration of exponent ⋮ Relative stability and extremal metrics



Cites Work

  • Unnamed Item
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  • Kähler-Einstein metrics with positive scalar curvature
  • Scalar curvature and projective embeddings. I
  • Stability of extremal Kähler manifolds
  • Scalar curvature and stability of toric varieties.
  • On stability criterion of complete intersections
  • On the lower order terms of the asymptotic expansion of Tian-Yau-Zelditch


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