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Creators/Authors contains: "Guo, Bin"

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  1. ; ; ; (, Mathematische Zeitschrift)
    Full Text Available 
  2. ; ; ; (, Communications on pure and applied mathematics)
    Diameter estimates for K\"ahler metrics are established which require only an entropy bound and no lower bound on the Ricci curvature. The proof builds on recent PDE techniques for $$L^\infty$$ estimates for the Monge-Amp\`ere equation, with a key improvement allowing degeneracies of the volume form of codimension strictly greater than one. As a consequence, diameter bounds are obtained for long-time existence of the K\"ahler-Ricci flow and finite-time solutions when the K\"ahler class is big, as well as for special vibrations of Calabi-Yau manifolds. 
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    Accepted Manuscript Full Text Available
  3. ; (, Analysis & PDE)
    We continue our work on the linear theory for equations with conical singularities. We derive interior Schauder estimates for linear elliptic and parabolic equations with a background Kähler metric of conical singularities along a divisor of simple normal crossings. As an application, we prove the short-time existence of the conical Kähler–Ricci flow with conical singularities along a divisor with simple normal crossings. 
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  4. ; ; (, Mathematische Annalen)
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  5. ; ; ; (, Analysis & PDE)
    Accepted Manuscript Full Text Available
  6. ; ; ; (, Journal für die reine und angewandte Mathematik (Crelles Journal))
    Abstract Let 𝑋 be a Kähler manifold with semiample canonical bundle K X K_{X}.It is proved in [W. Jian, Y. Shi and J. Song, A remark on constant scalar curvature Kähler metrics on minimal models,Proc. Amer. Math. Soc.147(2019), 8, 3507–3513] that, for any Kähler class 𝛾, there exists δ > 0 \delta>0such that, for all t ∈ ( 0 , δ ) t\in(0,\delta), there exists a unique cscK metric g t g_{t}in K X + t ⁢ γ K_{X}+t\gamma.In this paper, we prove that { ( X , g t ) } t ∈ ( 0 , δ ) \{(X,g_{t})\}_{t\in(0,\delta)}have uniformly bounded Kähler potentials, volume forms and diameters.As a consequence, these metric spaces are pre-compact in the Gromov–Hausdorff sense. 
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    Free, publicly-accessible full text available January 8, 2026
  7. ; ; (, Annals of Mathematics)
    Accepted Manuscript Full Text Available
  8. ; ; (, Annals of Mathematics)
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  9. ; (, Journal für die reine und angewandte Mathematik)
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  10. ; ; ; ; ; (, IEEE Transactions on Mobile Computing)
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