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Item Details
Title: COHERENT ANALYTIC SHEAVES
By: H. Grauert, R. Remmert
Format: Paperback

List price: £99.99


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ISBN 10: 3642695841
ISBN 13: 9783642695841
Publisher: SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG
Pub. date: 18 November, 2011
Edition: Softcover reprint of the original 1st ed. 1984
Series: Grundlehren der mathematischen Wissenschaften 265
Pages: 252
Synopsis: ...Je mehr ich tiber die Principien der Functionentheorie nachdenke - und ich thue dies unablassig -, urn so fester wird meine Uberzeugung, dass diese auf dem Fundamente algebraischer Wahrheiten aufgebaut werden muss (WEIERSTRASS, Glaubensbekenntnis 1875, Math. Werke II, p. 235). 1. Sheaf Theory is a general tool for handling questions which involve local solutions and global patching. "La notion de faisceau s'introduit parce qu'il s'agit de passer de donnees 'locales' a l'etude de proprietes 'globales'" [CAR], p. 622. The methods of sheaf theory are algebraic. The notion of a sheaf was first introduced in 1946 by J. LERAY in a short note Eanneau d'homologie d'une representation, C. R. Acad. Sci. 222, 1366-68. Of course sheaves had occurred implicitly much earlier in mathematics. The "Monogene analytische Functionen", which K. WEIERSTRASS glued together from "Func- tionselemente durch analytische Fortsetzung", are simply the connected components of the sheaf of germs of holomorphic functions on a RIEMANN surface*'; and the "ideaux de domaines indetermines", basic in the work of K. OKA since 1948 (cf. [OKA], p. 84, 107), are just sheaves of ideals of germs of holomorphic functions.Highly original contributions to mathematics are usually not appreciated at first. Fortunately H. CARTAN immediately realized the great importance of LERAY'S new abstract concept of a sheaf. In the polycopied notes of his Semina ire at the E. N. S.
Illustrations: XVIII, 252 p.
Publication: Germany
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Returns: Non-returnable
Some other items by this author:
ANALYTISCHE STELLENALGEBREN (PB)
CLASSICAL TOPICS IN COMPLEX FUNCTION THEORY (HB)
COHERENT ANALYTIC SHEAVES (HB)
COLLECTED PAPERS (HB)
COLLECTED PAPERS (PB)
COMPLEX ANALYSIS AND ALGEBRAIC GEOMETRY (PB)
DIFFERENTIAL- UND INTEGRALRECHNUNG (PB)
DIFFERENTIAL- UND INTEGRALRECHNUNG I (PB)
DIFFERENTIAL- UND INTEGRALRECHNUNG I (PB)
DIFFERENTIAL- UND INTEGRALRECHNUNG II (PB)
DIFFERENTIAL- UND INTEGRALRECHNUNG II (PB)
DIFFERENTIAL- UND INTEGRALRECHNUNG II (PB)
DIFFERENTIAL- UND INTEGRALRECHNUNG III (PB)
EINFUHRUNG IN DIE FUNKTIONENTHEORIE MEHRERER VERANDERLICHER (PB)
FELIX HAUSDORFF-GESAMMELTE WERKE (PB)
FROM HOLOMORPHIC FUNCTIONS TO COMPLEX MANIFOLDS (HB)
FROM HOLOMORPHIC FUNCTIONS TO COMPLEX MANIFOLDS (PB)
FUNKTIONENTHEORIE I (PB)
LINEARE ALGEBRA (PB)
MATHEMATIK - MOTOR DER WIRTSCHAFT (HB)
NON-ARCHIMEDEAN ANALYSIS (HB)
NON-ARCHIMEDEAN ANALYSIS (PB)
SELECTED PAPERS (PB)
SELECTED PAPERS I (PB)
SELECTED PAPERS II (PB)
SEVERAL COMPLEX VARIABLES (HB)
SEVERAL COMPLEX VARIABLES (PB)
SEVERAL COMPLEX VARIABLES (PB)
SEVERAL COMPLEX VARIABLES (PB)
THEORIE DER STEINSCHEN RAUME (PB)
THEORY OF COMPLEX FUNCTIONS (HB)
THEORY OF COMPLEX FUNCTIONS (PB)
THEORY OF COMPLEX FUNCTIONS (PB)
THEORY OF STEIN SPACES (PB)
THEORY OF STEIN SPACES (PB)

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