Asymptotic Behaviour of Tame Harmonic Bundles and an Application to Pure Twistor D-Modules
Asymptotic Behaviour of Tame Harmonic Bundles and an Application to Pure Twistor D-Modules
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DOI：
10.1090/memo/0869
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发表时间：
2003-12
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影响因子：
--
通讯作者：
T. Mochizuki
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文献类型：
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作者：
T. Mochizuki
部分4.纯扭量$D$-模理论的应用纯扭量$D$-模$\mathcal R$-模$\mathcal E$的延拓$\mathfrak{E} [\eth_t]$的滤子$\psi_{t}上的权滤子u}\mathfrak{E}$和诱导的$\mathcal{R}$-三元组倍半线性对极化纯扭量$D$-模和驯服调和丛纯扭量$D$-光滑曲线上的模（附录）第5部分。半单性的驯服纯虚多重调和度量的特征：预备性的驯服纯虚调和丛穿孔圆盘情形下的狄利克雷问题Kahler曲面上扭曲映射能量的控制纯虚多重调和度量的存在性。
Part 4. An Application to the theory of Pure Twistor $D$-modules: Pure twistor $D$-module Prolongation of $\mathcal R$-module $\mathcal E$ The filtrations of $\mathfrak{E} [\eth_t]$ The weight filtration on $\psi_{t,u}\mathfrak{E}$ and the induced $\mathcal{R}$-triple The sesqui-linear pairings Polarized pure twistor $D$-module and tame harmonic bundles The pure twistor $D$-modules on a smooth curve (Appendix) Part 5. Characterization of Semisimplicity by Tame Pure Imaginary Pluri-harmonic Metric: Preliminary Tame pure imaginary harmonic bundle The Dirichlet problem in the punctured disc case Control of the energy of twisted maps on a Kahler surface The existence of tame pure imaginary pluri-harmonic metric Bibliography Index.