Algebraic curves and Riemann surfaces (Record no. 27825)
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000 -LEADER | |
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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 |
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 |
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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 |