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Titlebook: Lectures on Hermitian-Einstein Metrics for Stable Bundles and Kähler-Einstein Metrics; Delivered at the Ger Yum-Tong Siu Book 1987 Springer

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书目名称Lectures on Hermitian-Einstein Metrics for Stable Bundles and Kähler-Einstein Metrics
副标题Delivered at the Ger
编辑Yum-Tong Siu
视频video
丛书名称Oberwolfach Seminars
图书封面Titlebook: Lectures on Hermitian-Einstein Metrics for Stable Bundles and Kähler-Einstein Metrics; Delivered at the Ger Yum-Tong Siu Book 1987 Springer
描述These notes are based on the lectures I delivered at the German Mathematical Society Seminar in Schloss Michkeln in DUsseldorf in June. 1986 on Hermitian-Einstein metrics for stable bundles and Kahler-Einstein metrics. The purpose of these notes is to present to the reader the state-of-the-art results in the simplest and the most comprehensible form using (at least from my own subjective viewpoint) the most natural approach. The presentation in these notes is reasonably self-contained and prerequisi tes are kept to a minimum. Most steps in the estimates are reduced as much as possible to the most basic procedures such as integration by parts and the maximum principle. When less basic procedures are used such as the Sobolev and Calderon-Zygmund inequalities and the interior Schauder estimates. references are given for the reader to look them up. A considerable amount of heuristic and intuitive discussions are included to explain why certain steps are used or certain notions introduced. The inclusion of such discussions makes the style of the presentation at some places more conversational than what is usually expected of rigorous mathemtical prese"ntations. For the problems of Hermi
出版日期Book 1987
关键词Derivation; Finite; Invariant; Manifold; Morphism; equation; function; proof
版次1
doihttps://doi.org/10.1007/978-3-0348-7486-1
isbn_softcover978-3-7643-1931-1
isbn_ebook978-3-0348-7486-1Series ISSN 1661-237X Series E-ISSN 2296-5041
issn_series 1661-237X
copyrightSpringer Basel AG 1987
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Oberwolfach Seminarshttp://image.papertrans.cn/l/image/583523.jpg
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,Kähler-Einstein Metrics for the Case of Negative and Zero Anticanonical Class,hen the anticanonical class of M is either negative or zero. A Kähler-Einstein metric means a Kähler metric whose Ricci curvature is a constant multiple of the Kähler metric. First we formulate the problem in the form a Monge-Ampère equation.
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,Obstuctions to the Existence of Kähler-Einstein Metrics,e is the non-reductivity of the automorphism group discovered by Matsushima [M] and Lichnerowicz [Li]. the second one is the nonvanishing of an invariant for holomorphic vector fields due to Kazdan, Warner [K-W], and Futaki [F].
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978-3-7643-1931-1Springer Basel AG 1987
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Lectures on Hermitian-Einstein Metrics for Stable Bundles and Kähler-Einstein Metrics978-3-0348-7486-1Series ISSN 1661-237X Series E-ISSN 2296-5041
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Yum-Tong Siu took place? And more precisely, perhaps, what was the image of al-Andalus such as it was shaped by ensuing generations of historians? How have past and present historians—political, cultural, or literary historians, writers and scholars of a place and time marked as “past”—construed, how do they co
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Yum-Tong Siu visible as my desire for the holy—translates into an altruistic fragmentation, a being hollowed out, of the finite subject—visible as my desire for the other to command me as neighbor. The finite and infinite are woven in with each other, and form a unique structure of agency and obedience vis-à-vi
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