Algebraic Surfaces:
Gespeichert in:
Beteilige Person: | |
---|---|
Format: | Elektronisch E-Book |
Sprache: | Englisch |
Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1995
|
Ausgabe: | Second Supplemented Edition |
Schriftenreihe: | Classics in Mathematics
61 |
Schlagwörter: | |
Links: | https://doi.org/10.1007/978-3-642-61991-5 |
Beschreibung: | The aim of the present monograph is to give a systematic exposition of the theory of algebraic surfaces emphasizing the interrelations between the various aspects of the theory: algebro-geometric, topological and transcendental. To achieve this aim, and still remain inside the limits of the allotted space, it was necessary to confine the exposition to topics which are absolutely fundamental. The present work therefore makes no claim to completeness, but it does, however, cover most of the central points of the theory. A presentation of the theory of surfaces, to be effective at all, must above all give the typical methods of proof used in the theory and their underlying ideas. It is especially true of algebraic geometry that in this domain the methods employed are at least as important as the results. The author has therefore avoided, as much as possible, purely formal accounts of results. The proofs given are of necessity condensed, for reasons of space, but no attempt has been made to condense them beyond the point of intelligibility. In many instances, due to exigencies of simplicity and rigor, the proofs given in the text differ, to a greater or less extent, from the proofs given in the original papers |
Umfang: | 1 Online-Ressource (XIV, 270p) |
ISBN: | 9783642619915 9783540586586 |
ISSN: | 0071-1136 |
DOI: | 10.1007/978-3-642-61991-5 |
Internformat
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500 | |a The aim of the present monograph is to give a systematic exposition of the theory of algebraic surfaces emphasizing the interrelations between the various aspects of the theory: algebro-geometric, topological and transcendental. To achieve this aim, and still remain inside the limits of the allotted space, it was necessary to confine the exposition to topics which are absolutely fundamental. The present work therefore makes no claim to completeness, but it does, however, cover most of the central points of the theory. A presentation of the theory of surfaces, to be effective at all, must above all give the typical methods of proof used in the theory and their underlying ideas. It is especially true of algebraic geometry that in this domain the methods employed are at least as important as the results. The author has therefore avoided, as much as possible, purely formal accounts of results. The proofs given are of necessity condensed, for reasons of space, but no attempt has been made to condense them beyond the point of intelligibility. In many instances, due to exigencies of simplicity and rigor, the proofs given in the text differ, to a greater or less extent, from the proofs given in the original papers | ||
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Datensatz im Suchindex
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author | Zariski, Oscar 1899-1986 |
author_GND | (DE-588)119042940 |
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dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1007/978-3-642-61991-5 |
edition | Second Supplemented Edition |
format | Electronic eBook |
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id | DE-604.BV042422838 |
illustrated | Not Illustrated |
indexdate | 2024-12-20T17:10:47Z |
institution | BVB |
isbn | 9783642619915 9783540586586 |
issn | 0071-1136 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027858255 |
oclc_num | 905439860 |
open_access_boolean | |
owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
physical | 1 Online-Ressource (XIV, 270p) |
psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
publishDate | 1995 |
publishDateSearch | 1995 |
publishDateSort | 1995 |
publisher | Springer Berlin Heidelberg |
record_format | marc |
series2 | Classics in Mathematics |
spellingShingle | Zariski, Oscar 1899-1986 Algebraic Surfaces Mathematics Geometry, algebraic Algebraic Geometry Mathematik Algebraische Geometrie (DE-588)4001161-6 gnd Algebraische Fläche (DE-588)4195660-6 gnd |
subject_GND | (DE-588)4001161-6 (DE-588)4195660-6 |
title | Algebraic Surfaces |
title_auth | Algebraic Surfaces |
title_exact_search | Algebraic Surfaces |
title_full | Algebraic Surfaces by Oscar Zariski |
title_fullStr | Algebraic Surfaces by Oscar Zariski |
title_full_unstemmed | Algebraic Surfaces by Oscar Zariski |
title_short | Algebraic Surfaces |
title_sort | algebraic surfaces |
topic | Mathematics Geometry, algebraic Algebraic Geometry Mathematik Algebraische Geometrie (DE-588)4001161-6 gnd Algebraische Fläche (DE-588)4195660-6 gnd |
topic_facet | Mathematics Geometry, algebraic Algebraic Geometry Mathematik Algebraische Geometrie Algebraische Fläche |
url | https://doi.org/10.1007/978-3-642-61991-5 |
work_keys_str_mv | AT zariskioscar algebraicsurfaces |