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Titlebook: Geometric Analysis; In Honor of Gang Tia Jingyi Chen,Peng Lu,Zhou Zhang Book 2020 Springer Nature Switzerland AG 2020 Gang Tian.complex geo

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From Local Index Theory to Bergman Kernel: A Heat Kernel Approach,The aim of this note is to explain a uniform approach of three different topics: Atiyah–Singer index theorem, holomorphic Morse inequalities and asymptotic expansion of Bergman kernel, by using heat kernels.
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https://doi.org/10.1057/9780230355477n explicit formula for the dimension of this moduli space on a scalar-flat Kähler ALE surface which deforms to the minimal resolution of C2/Γ, where Γ is a finite subgroup of U(2) without complex reflections, in terms of the embedding dimension of the singularity.
发表于 2025-3-29 09:25:16 | 显示全部楼层
Noel A. Ysasi,Bradley W. McDanielsrinciple and Hopf Lemma for (non-uniformly) elliptic equations when one of the competitors is C1,1. We obtain as a consequence a Liouville theorem for entire solutions which are approximable by C1,1 solutions on larger and larger compact domains, and, in particular, for entire C1,1 loc solutions: they are either constants or standard bubbles.
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Jennifer L. Koosed,Darla Schummsequently these energies are completely determined by dual type varieties and therefore have logarithmic singularities when restricted to the space of algebraic potentials. This paper is dedicated to Gang Tian on the occasion of his 60th birthday.
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Conclusion: (Dia)Logics of Difference,e survey the classification results of ancient solutions in the Ricci flow and the mean curvature flow. We also discuss methods for constructing new ancient solutions to the Yamabe flow, indicating that the classification results for this flow are impossible to expect.
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,Local Moduli of Scalar-flat Kähler ALE Surfaces,n explicit formula for the dimension of this moduli space on a scalar-flat Kähler ALE surface which deforms to the minimal resolution of C2/Γ, where Γ is a finite subgroup of U(2) without complex reflections, in terms of the embedding dimension of the singularity.
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