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Several Complex Variables VII : Sheaf-Theoretical Methods in Complex Analysis / edited by H. Grauert, Thomas Peternell, R. Remmert

データ種別 電子書籍
版 1st ed. 1994.
出版者 Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
出版年 1994

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URL オンライン

EB2040099


書誌詳細を非表示

書誌ID OB01019672
本文言語 英語
一般注記 I. Local Theory of Complex Spaces -- II. Differential Calculus, Holomorphic Maps and Linear Structures on Complex Spaces -- III. Cohomology -- IV. Seminormal Complex Spaces -- V. Pseudoconvexity, the Levi Problem and Vanishing Theorems -- VI. Theory of q-Convexity and q-Concavity -- VII. Modifications -- VIII. Cycle Spaces -- IX. Extension of Analytic Objects -- Author Index.
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Summary: 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
著者標目 Grauert, H
Peternell, Thomas
Remmert, R
SpringerLink (Online service)
統一書名標目 Encyclopaedia of Mathematical Sciences ;
件　名 LCSH:Functions of complex variables
LCSH:Mathematical analysis
LCSH:Algebraic geometry
LCSH:Geometry, Differential
LCSH:Mathematical physics
FREE:Functions of a Complex Variable
FREE:Analysis
FREE:Algebraic Geometry
FREE:Differential Geometry
FREE:Theoretical, Mathematical and Computational Physics
分　類 LCC:QA331.7
DC23:515.9
巻冊次 ISBN:9783662098738 RefWorks出力（各巻）
print ; ISBN:9783642081507 RefWorks出力（各巻）
print ; ISBN:9783540562597 RefWorks出力（各巻）
print ; ISBN:9783662098745 RefWorks出力（各巻）
print ; ISBN:9783662600993 RefWorks出力（各巻）
資料種別 機械可読データファイル
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