Titlebook: Complex Manifolds; S. R. Bell,J.-L. Brylinski,S. Zucker Book 1998 Springer-Verlag Berlin Heidelberg 1998 Hodge theory.Hodgetheorie.Instant

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辞职

S. R. Bell,J.-L. Brylinski,S. ZuckerA special volume emphasizing the recent mathematics which has grown from "the Golden Age of Complex Variables" in the 1950‘s.Large overview of several important topics

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痛恨

https://doi.org/10.1007/978-3-322-83620-5o sections deal respectively with the Remmert Proper Mapping Theorem and the Grauert Direct Image Theorem. These are certainly the most important results of what may be called the general theory. Sect. 3 deals with embeddings in C.. Finally, Sect. 4 treats proper maps between bounded domains, which

GONG

https://doi.org/10.1007/978-3-322-99519-3ave only come up in the fifties and sixties. Seven asked in 1954 if every algebraic surface homeomorphic to the projective plane, is biregularly equivalent to it. The (positive) answer came three decades later, as a result of Yau’s work on the Calabi conjecture. In 1965 Kodaira constructed examples

orthodox

Gesellschaftspolitik und Staatstätigkeitrit of analytic and algebraic geometry as well as complex differential geometry. Deformation theory of compact complex manifolds was created in a seemingly independent way. Its methods are significantly different and, as opposed to its classical counterpart, deformation theory only provides a local

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https://doi.org/10.1007/978-3-322-99519-3This paper primarily deals with three topics: ., and certain types of ., e.g. .. Our goal here is to indicate our own current view of these areas, as opposed to presenting a comprehensive survey.

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An Overview of Recent Advances in Hodge Theory,Our aim, in writing this article, is to give a survey of the progress in Hodge theory over the past 15 years. Of course, it was first necessary to decide what we mean by “Hodge theory”! This is by no means an easy question, and our answer to it shaped the contents of the article. Indeed, the nature of the subject has evolved over the years.