Several Complex Variables VII

Language: English

Published by Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, DE, 2010

3642081509 / 9783642081507

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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.

Seller Inventory # LU-9783642081507

Title
Several Complex Variables VII
Publisher
Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, DE
Publication year
2010
Condition
New
Binding
Paperback
Language
English
ISBN 10
3642081509
ISBN 13
9783642081507
Edition
1st ed. Softcover of orig. ed. 1994.

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