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On the Kähler-Ricci Flow on Projective Manifolds of General Type

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Abstract

This note concerns the global existence and convergence of the solution for Kähler-Ricci flow equation when the canonical class, K X , is numerically effective and big. We clarify some known results regarding this flow on projective manifolds of general type and also show some new observations and refined results.

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Correspondence to Gang Tian*.

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(Dedicated to the memory of Shiing-Shen Chern)

* Partially supported by NSF grants and a Simons fund.

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Tian*, G., Zhang, Z. On the Kähler-Ricci Flow on Projective Manifolds of General Type. Chin. Ann. Math. Ser. B 27, 179–192 (2006). https://doi.org/10.1007/s11401-005-0533-x

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  • DOI: https://doi.org/10.1007/s11401-005-0533-x

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