摘要翻译:
这些是2008年Srni冬季学校的说明文。它们有两个目的:(1)快速介绍外部微分系统(EDS),这是确定偏微分方程组局部存在性的技术集合;(2)介绍最近(与C.Robles合作)在有理齐次簇的Fubini-Griffiths-Harris刚性研究方面的工作,这也涉及EDS技术的进展。
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英文标题:
《Exterior differential systems, Lie algebra cohomology, and the rigidity
of homogenous varieties》
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作者:
J.M. Landsberg
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最新提交年份:
2008
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分类信息:
一级分类:Mathematics 数学
二级分类:Algebraic Geometry 代数几何
分类描述:Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇,叠,束,格式,模空间,复几何,量子上同调
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一级分类:Mathematics 数学
二级分类:Differential Geometry 微分几何
分类描述:Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis
复形,接触,黎曼,伪黎曼和Finsler几何,相对论,规范理论,整体分析
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英文摘要:
These are expository notes from the 2008 Srni Winter School. They have two purposes: (1) to give a quick introduction to exterior differential systems (EDS), which is a collection of techniques for determining local existence to systems of partial differential equations, and (2) to give an exposition of recent work (joint with C. Robles) on the study of the Fubini-Griffiths-Harris rigidity of rational homogeneous varieties, which also involves an advance in the EDS technology.
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PDF链接:
https://arxiv.org/pdf/0802.4280