| 000 -LEADER |
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| fixed length control field |
03161cam a2200385Ia 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20150712005456.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
040520s2004 enk b 00100 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
0521839041 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
0521547741 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
DLC |
| Transcribing agency |
DLC |
| Modifying agency |
OCL |
| -- |
UBA |
| -- |
BAKER |
| -- |
NOR |
| 049 ## - LOCAL HOLDINGS (OCLC) |
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| Holding library |
NORA |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA614.58 |
| Item number |
.W35 2004 |
| 060 ## - NATIONAL LIBRARY OF MEDICINE CALL NUMBER |
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| Item number |
WS |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
512.22 |
| Edition number |
22 |
| 084 ## - OTHER CLASSIFICATION NUMBER |
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| Classification number |
512.22 |
| Item number |
WS |
| 090 ## - LOCALLY ASSIGNED LC-TYPE CALL NUMBER (OCLC); LOCAL CALL NUMBER (RLIN) |
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| Classification number (OCLC) (R) ; Classification number, CALL (RLIN) (NR) |
QA614.58 |
| 001 - CONTROL NUMBER |
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| control field |
0000024649 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
0000 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Wall, C. T. C. |
| Fuller form of name |
(Charles Terence Clegg).) |
| 245 10 - TITLE STATEMENT |
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| Title |
Singular points of plane curves |
| Medium |
[[Book] /] |
| Statement of responsibility, etc. |
C.T.C. Wall. |
| 250 ## - EDITION STATEMENT |
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| Edition statement |
1st. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| 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 |
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| 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 |
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| 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) |
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| a |
30205003234787 |
| 994 ## - |
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| -- |
02 |
| -- |
NOR |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Koha item type |
Books |
