Singularities of plane curves / (Record no. 518066)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03665nam a22003618i 4500 |
| 001 - CONTROL NUMBER | |
| control field | CR9780511569326 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | UkCbUP |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20200124160236.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION | |
| fixed length control field | m|||||o||d|||||||| |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr|||||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 090520s2000||||enk o ||1 0|eng|d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780511569326 (ebook) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Cancelled/invalid ISBN | 9780521789592 (paperback) |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | UkCbUP |
| Language of cataloging | eng |
| Description conventions | rda |
| Transcribing agency | UkCbUP |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA565 |
| Item number | .C37 2000 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 516.3/5 |
| Edition number | 21 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Casas-Alvero, E. |
| Fuller form of name | (Eduardo), |
| Dates associated with a name | 1948- |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| Title | Singularities of plane curves / |
| Statement of responsibility, etc | Eduardo Casas-Alvero. |
| 264 #1 - Production, Publication, Distribution, Manufacture, and Copyright Notice (R) | |
| Place of production, publication, distribution, manufacture (R) | Cambridge : |
| Name of producer, publisher, distributor, manufacturer (R) | Cambridge University Press, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2000. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (xv, 345 pages) : |
| Other physical details | digital, PDF file(s). |
| 336 ## - Content Type (R) | |
| Content type term (R) | text |
| Content type code (R) | txt |
| Source (NR) | rdacontent |
| 337 ## - Media Type (R) | |
| Media type term (R) | computer |
| Media type code (R) | c |
| Source (NR) | rdamedia |
| 338 ## - Carrier Type (R) | |
| Carrier type term (R) | online resource |
| Carrier type code (R) | cr |
| Source (NR) | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| სერიის ცნობა | London Mathematical Society lecture note series ; |
| Volume number/sequential designation | 276 |
| 500 ## - GENERAL NOTE | |
| General note | Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
| 505 00 - FORMATTED CONTENTS NOTE | |
| Title | Projective spaces -- |
| -- | Power series -- |
| -- | Surfaces, local coordinates -- |
| -- | Morphisms -- |
| -- | Local rings -- |
| -- | Tangent and cotangent spaces -- |
| -- | Curves -- |
| -- | Germs of curves -- |
| -- | Multiplicity and tangent cone -- |
| -- | Smooth germs -- |
| -- | Examples of singular germs -- |
| -- | Newton--Puiseux algorithm -- |
| -- | Newton polygon -- |
| -- | Fractionary power series -- |
| -- | Search for y-roots of f(x, y) -- |
| -- | The Newton-Puiseux algorithm -- |
| -- | Puiseux theorem -- |
| -- | Separation of y-roots -- |
| -- | The case of convergent series -- |
| -- | Algebraic properties of C{x, y} -- |
| -- | First local properties of plane curves -- |
| -- | The branches of a germ -- |
| -- | The Puiseux series of a germ -- |
| -- | Points on curves around O -- |
| -- | Local rings of germs -- |
| -- | Parameterizing branches -- |
| -- | Intersection multiplicity -- |
| -- | Pencils and linear systems -- |
| -- | Infinitely near points -- |
| -- | Blowing up -- |
| -- | Transforming curves and germs -- |
| -- | Infinitely near points -- |
| -- | Enriques' definition of infinitely near points -- |
| -- | Proximity -- |
| -- | Free and satellite points -- |
| -- | Resolution of singularities -- |
| -- | Equisingularity -- |
| -- | Enriques diagrams -- |
| -- | The ring in the first neighbourhood -- |
| -- | The rings in the successive neighbourhoods -- |
| -- | Artin theorem for plane curves -- |
| -- | Virtual multiplicities -- |
| -- | Curves through a weighted cluster -- |
| -- | When virtual multiplicities are effective -- |
| -- | Blowing up all points in a cluster -- |
| -- | Exceptional divisors and dual graphs -- |
| -- | The totla transform of a curve -- |
| -- | Unloading -- |
| -- | The number of conditions -- |
| -- | Adjoint germs and curves -- |
| -- | Noether's Af + B[phi] theorem -- |
| -- | Analysis of branches -- |
| -- | Characteristic exponents -- |
| -- | The first characteristic exponent. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This book provides a comprehensive and self-contained exposition of the algebro-geometric theory of singularities of plane curves, covering both its classical and its modern aspects. The book gives a unified treatment, with complete proofs, presenting modern results which have only ever appeared in research papers. It updates and correctly proves a number of important classical results for which there was formerly no suitable reference, and includes new, previously unpublished results as well as applications to algebra and algebraic geometry. This book will be useful as a reference text for researchers in the field. It is also suitable as a textbook for postgraduate courses on singularities, or as a supplementary text for courses on algebraic geometry (algebraic curves) or commutative algebra (valuations, complete ideals). |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Curves, Plane. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Singularities (Mathematics) |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Print version: |
| International Standard Book Number | 9780521789592 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | London Mathematical Society lecture note series ; |
| Volume number/sequential designation | 276. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://doi.org/10.1017/CBO9780511569326">https://doi.org/10.1017/CBO9780511569326</a> |
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