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＜電子ブック＞
Several Complex Variables VII : Sheaf-Theoretical Methods in Complex Analysis / edited by H. Grauert, Thomas Peternell, R. Remmert
(Encyclopaedia of Mathematical Sciences ; 74)

版	1st ed. 1994.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	1994
本文言語	英語
大きさ	VIII, 372 p : online resource
著者標目	Grauert, H editor Peternell, Thomas editor Remmert, R editor SpringerLink (Online service)
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
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 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 HTTP:URL=https://doi.org/10.1007/978-3-662-09873-8

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