Algebraic curves and Riemann surfaces (Record no. 27825)

000 -LEADER
fixed length control field 01769 a2200205 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20230216152353.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 230216b |||||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780821802687
050 ## - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA565.M687
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Miranda, Rick
245 ## - TITLE STATEMENT
Title Algebraic curves and Riemann surfaces
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Name of publisher, distributor, etc. American Mathematical Society
Place of publication, distribution, etc. Providence, R.I.
Date of publication, distribution, etc. 1995
300 ## - Physical Description
Pages: xxi, 390 p.
440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE
Title Graduate studies in mathematics
520 ## - SUMMARY, ETC.
Summary, etc. In this book, Miranda takes the approach that algebraic curves are best encountered for the first time over the complex numbers, where the reader's classical intuition about surfaces, integration, and other concepts can be brought into play. Therefore, many examples of algebraic curves are presented in the first chapters. In this way, the book begins as a primer on Riemann surfaces, with complex charts and meromorphic functions taking center stage.But the main examples come from projective curves, and slowly but surely the text moves toward the algebraic category. Proofs of the Riemann-Roch and Serre Duality Theorems are presented in an algebraic manner, via an adaptation of the adelic proof, expressed completely in terms of solving a Mittag-Leffler problem. Sheaves and cohomology are introduced as a unifying device in the latter chapters, so that their utility and naturalness are immediately obvious. Requiring a background of a one semester of complex variable theory and a year of abstract algebra, this is an excellent graduate textbook for a second-semester course in complex variables or a year-long course in algebraic geometry.<br/>(source: Nielsen Book Data; retrieved from Stanford libraries catalog)
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Curves, Algebraic
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Riemann surfaces.
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type Book
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection code Home library Shelving location Date acquired Inventory number Full call number Accession No. Copy number Koha item type
      Available for Reference (Not For Loan) Mathematics ICTS Rack No 6 02/16/2023 IN624 QA565.M687 02616 1 Book
        Mathematics ICTS Rack No 6 02/16/2023 IN624 QA565.M687 02617 2 Book