Several Complex Variables VII. Sheaf - Theoretical Methods in Complex Analysis.

Grauert, H. / Peternell, Th. / Remmert, R. ( Eds.)

ISBN 10: 3540562591 / ISBN 13: 9783540562597

Published by Berlin Heidelberg New York Springer - Verlag, 1994

About this Item

(23,7 x 15,5 cm); gr.-8°; 4 Blätter,369,(3) Seiten; Orig.-Pappband. ( Encyclopaedia of Mathematical Sciences, Volume 74 ). Name und Datum auf dem ersten Blatt, Buchblock am hinteren Vorsatz angebrochen. * Customers from outside the EU ask please for real shipping costs! - Ask for more pics ! *.

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Bibliographic Details

• Title: Several Complex Variables VII. Sheaf - Theoretical Methods in Complex Analysis.
• Publisher: Berlin Heidelberg New York Springer - Verlag
• Publication Date: 1994
• Language: German
• ISBN 10: 3540562591
• ISBN 13: 9783540562597
• Seller catalogs:
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About this title

Synopsis

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.

Language Notes

Text: English (translation)
Original Language: Russian