书目名称 | Several Complex Variables VII | 副标题 | Sheaf-Theoretical Me | 编辑 | H. Grauert,Th. Peternell,R. Remmert | 视频video | | 丛书名称 | Encyclopaedia of Mathematical Sciences | 图书封面 |  | 描述 | Of making many books there is no end; and much study is a weariness of the flesh. Eccl. 12.12. 1. In the beginning Riemann created the surfaces. The periods of integrals of abelian differentials on a compact surface of genus 9 immediately attach a g dimensional complex torus to X. If 9 ~ 2, the moduli space of X depends on 3g - 3 complex parameters. Thus problems in one complex variable lead, from the very beginning, to studies in several complex variables. Complex tori and moduli spaces are complex manifolds, i.e. Hausdorff spaces with local complex coordinates Z 1, ... , Zn; holomorphic functions are, locally, those functions which are holomorphic in these coordinates. th In the second half of the 19 century, classical algebraic geometry was born in Italy. The objects are sets of common zeros of polynomials. Such sets are of finite dimension, but may have singularities forming a closed subset of lower dimension; outside of the singular locus these zero sets are complex manifolds. | 出版日期 | Book 1994 | 关键词 | Complex analysis; Complex spaces; Kohomologie; Kohärente Garben; Konvexität und Konkavität; Modifikation; | 版次 | 1 | doi | https://doi.org/10.1007/978-3-662-09873-8 | isbn_softcover | 978-3-642-08150-7 | isbn_ebook | 978-3-662-09873-8Series ISSN 0938-0396 | issn_series | 0938-0396 | copyright | Springer-Verlag Berlin Heidelberg 1994 |
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