Singular points of plane curves (Titelsatznr. 52320)

[ MARC ]
000 -LEADER
fixed length control field 03161cam a2200385Ia 4500
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20150712005456.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 040520s2004 enk b 00100 eng
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 0521839041
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 0521547741
040 ## - CATALOGING SOURCE
Original cataloging agency DLC
Transcribing agency DLC
Modifying agency OCL
-- UBA
-- BAKER
-- NOR
049 ## - LOCAL HOLDINGS (OCLC)
Holding library NORA
050 00 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA614.58
Item number .W35 2004
060 ## - NATIONAL LIBRARY OF MEDICINE CALL NUMBER
Item number WS
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512.22
Edition number 22
084 ## - OTHER CLASSIFICATION NUMBER
Classification number 512.22
Item number WS
090 ## - LOCALLY ASSIGNED LC-TYPE CALL NUMBER (OCLC); LOCAL CALL NUMBER (RLIN)
Classification number (OCLC) (R) ; Classification number, CALL (RLIN) (NR) QA614.58
001 - CONTROL NUMBER
control field 0000024649
003 - CONTROL NUMBER IDENTIFIER
control field 0000
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Wall, C. T. C.
Fuller form of name (Charles Terence Clegg).)
245 10 - TITLE STATEMENT
Title Singular points of plane curves
Medium [[Book] /]
Statement of responsibility, etc. C.T.C. Wall.
250 ## - EDITION STATEMENT
Edition statement 1st.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc. Cambridge, UK ;
-- New York :
Name of publisher, distributor, etc. Cambridge University Press,
Date of publication, distribution, etc. c2004.
300 ## - PHYSICAL DESCRIPTION
Extent xi, 370 p. ;
Dimensions 24 cm.
440 #0 - SERIES STATEMENT/ADDED ENTRY--TITLE
Title London Mathematical Society student texts ;
Volume/sequential designation 63
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Includes bibliographical references (p. 357-367) and index.
505 00 - FORMATTED CONTENTS NOTE
Title Preface --
Miscellaneous information 1.
Title Preliminaries --
Miscellaneous information 2.
Title Puiseux' theorem --
Miscellaneous information 3.
Title Resolutions --
Miscellaneous information 4.
Title Contact of two branches --
Miscellaneous information 5.
Title Topology of the singularity link --
Miscellaneous information 6. The.
Title Milnor fibration --
Miscellaneous information 7.
Title Projective curves and their duals --
Miscellaneous information 8.
Title Combinatorics on a resolution tree --
Miscellaneous information 9.
Title Decomposition of the link complement and the Milnor fibre --
Miscellaneous information 10. The.
Title monodromy and the Seifert form --
Miscellaneous information 11.
Title Ideals and clusters --
-- References --
-- Index.
520 ## - SUMMARY, ETC.
Summary, etc. The simplest singularities of a plane curve are self-crossings and cusps. Equivalence of singular points of (complex) plane curves can be defined using combinatorial data, resolution data or topological data; all give the same result. The first half of this book, which is based on a M.Sc. Course, works up to this synthesis via Puiseux series (parametrising the curve), resolution of singularities, infintely near points and the Alexander polynomial. For curves in the projective plane, formulae for the genus and the class depend on the singularities. The topology gives a fibration (due to Minor), described by the monodromy self-map of the fibre, a compact surface. The monodromy is approached through resolution trees, the group of exceptional cycles, combinatorial data, and the decomposition theorems of Thurston and of Jaco-Shalen-Johannsen. The author obtains a criterion for the monodromy to be (setwise) finite and a close relation between the Eggers tree, the resolution graph and the Eisenbud-Neumann diagram. Ahe calculates the characteristic polynomials of the monodromy, studies the Seifert form, and calculates the signatures that determine it over the reals. Ideals in the local ring of appoint are related to the cycles studied earlier, and (by a Galois correspondence) with the clusters of Enriques; this involves valuative and integral closure. This graduate text gives an introduction to this attractive area of mathematics. By synthesizing different perspectives it offers a novel view and a number of new results. Exercises and suggestions for further rreading are included. - Back cover.
521 ## - TARGET AUDIENCE NOTE
Target audience note All Ages.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Singularities (Mathematics)
Form subdivision Congresses.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Curves, Plane
Form subdivision Congresses.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Wall, C. T. C.
949 ## - LOCAL PROCESSING INFORMATION (OCLC)
a 30205003234787
994 ## -
-- 02
-- NOR
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Books
Exemplare
Withdrawn status Lost status Damaged status Not for loan Permanent Location Current Location Shelving location Date acquired Cost, normal purchase price Full call number Barcode Date last seen Copy number Price effective from Koha item type
        6october 6october 1104 2006-04-19 0.00 512.22 WS SOULE104000299 2021-11-22 1 2015-07-12 Books
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