Birational geometry of algebraic varieties:
One of the major discoveries of the last two decades of the twentieth century in algebraic geometry is the realization that the theory of minimal models of surfaces can be generalized to higher dimensional varieties. This generalization, called the minimal model program or Mori's program, has d...
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cambridge
Cambridge University Press
1998
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Schriftenreihe: | Cambridge tracts in mathematics
134 |
Schlagworte: | |
Online-Zugang: | BSB01 FHN01 UBR01 URL des Erstveröffentlichers |
Zusammenfassung: | One of the major discoveries of the last two decades of the twentieth century in algebraic geometry is the realization that the theory of minimal models of surfaces can be generalized to higher dimensional varieties. This generalization, called the minimal model program or Mori's program, has developed into a powerful tool with applications to diverse questions in algebraic geometry and beyond. This book provides the a comprehensive introduction to the circle of ideas developed around the program, the prerequisites being only a basic knowledge of algebraic geometry. It will be of great interest to graduate students and researchers working in algebraic geometry and related fields |
Beschreibung: | 1 Online-Ressource (viii, 254 Seiten) |
ISBN: | 9780511662560 |
DOI: | 10.1017/CBO9780511662560 |
Internformat
MARC
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100 | 1 | |a Kollár, János |d 1956- |e Verfasser |0 (DE-588)113796277 |4 aut | |
245 | 1 | 0 | |a Birational geometry of algebraic varieties |c János Kollár, Shigefumi Mori, with the collaboration of C.H. Clemens and A. Corti |
264 | 1 | |a Cambridge |b Cambridge University Press |c 1998 | |
300 | |a 1 Online-Ressource (viii, 254 Seiten) | ||
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490 | 0 | |a Cambridge tracts in mathematics |v 134 | |
520 | |a One of the major discoveries of the last two decades of the twentieth century in algebraic geometry is the realization that the theory of minimal models of surfaces can be generalized to higher dimensional varieties. This generalization, called the minimal model program or Mori's program, has developed into a powerful tool with applications to diverse questions in algebraic geometry and beyond. This book provides the a comprehensive introduction to the circle of ideas developed around the program, the prerequisites being only a basic knowledge of algebraic geometry. It will be of great interest to graduate students and researchers working in algebraic geometry and related fields | ||
650 | 4 | |a Surfaces, Algebraic | |
650 | 4 | |a Algebraic varieties | |
650 | 0 | 7 | |a Birationale Geometrie |0 (DE-588)4494748-3 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Algebraische Mannigfaltigkeit |0 (DE-588)4128509-8 |2 gnd |9 rswk-swf |
689 | 0 | 0 | |a Birationale Geometrie |0 (DE-588)4494748-3 |D s |
689 | 0 | 1 | |a Algebraische Mannigfaltigkeit |0 (DE-588)4128509-8 |D s |
689 | 0 | |5 DE-604 | |
700 | 1 | |a Mori, Shigefumi |d 1951- |e Sonstige |0 (DE-588)142401137 |4 oth | |
700 | 1 | |a Clemens, Charles Herbert |d 1939- |e Sonstige |0 (DE-588)172022444 |4 oth | |
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Datensatz im Suchindex
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any_adam_object | |
author | Kollár, János 1956- |
author_GND | (DE-588)113796277 (DE-588)142401137 (DE-588)172022444 |
author_facet | Kollár, János 1956- |
author_role | aut |
author_sort | Kollár, János 1956- |
author_variant | j k jk |
building | Verbundindex |
bvnumber | BV043942173 |
classification_rvk | SK 240 |
collection | ZDB-20-CBO |
ctrlnum | (ZDB-20-CBO)CR9780511662560 (OCoLC)967601813 (DE-599)BVBBV043942173 |
dewey-full | 516.3/5 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 516 - Geometry |
dewey-raw | 516.3/5 |
dewey-search | 516.3/5 |
dewey-sort | 3516.3 15 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1017/CBO9780511662560 |
format | Electronic eBook |
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id | DE-604.BV043942173 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T07:39:17Z |
institution | BVB |
isbn | 9780511662560 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029351142 |
oclc_num | 967601813 |
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owner_facet | DE-12 DE-92 DE-355 DE-BY-UBR |
physical | 1 Online-Ressource (viii, 254 Seiten) |
psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO ZDB-20-CBO UBR Einzelkauf (Lückenergänzung CUP Serien 2018) |
publishDate | 1998 |
publishDateSearch | 1998 |
publishDateSort | 1998 |
publisher | Cambridge University Press |
record_format | marc |
series2 | Cambridge tracts in mathematics |
spelling | Kollár, János 1956- Verfasser (DE-588)113796277 aut Birational geometry of algebraic varieties János Kollár, Shigefumi Mori, with the collaboration of C.H. Clemens and A. Corti Cambridge Cambridge University Press 1998 1 Online-Ressource (viii, 254 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge tracts in mathematics 134 One of the major discoveries of the last two decades of the twentieth century in algebraic geometry is the realization that the theory of minimal models of surfaces can be generalized to higher dimensional varieties. This generalization, called the minimal model program or Mori's program, has developed into a powerful tool with applications to diverse questions in algebraic geometry and beyond. This book provides the a comprehensive introduction to the circle of ideas developed around the program, the prerequisites being only a basic knowledge of algebraic geometry. It will be of great interest to graduate students and researchers working in algebraic geometry and related fields Surfaces, Algebraic Algebraic varieties Birationale Geometrie (DE-588)4494748-3 gnd rswk-swf Algebraische Mannigfaltigkeit (DE-588)4128509-8 gnd rswk-swf Birationale Geometrie (DE-588)4494748-3 s Algebraische Mannigfaltigkeit (DE-588)4128509-8 s DE-604 Mori, Shigefumi 1951- Sonstige (DE-588)142401137 oth Clemens, Charles Herbert 1939- Sonstige (DE-588)172022444 oth Erscheint auch als Druck-Ausgabe 978-0-521-63277-5 Erscheint auch als Druck-Ausgabe 978-0-521-06022-6 https://doi.org/10.1017/CBO9780511662560 Verlag URL des Erstveröffentlichers Volltext |
spellingShingle | Kollár, János 1956- Birational geometry of algebraic varieties Surfaces, Algebraic Algebraic varieties Birationale Geometrie (DE-588)4494748-3 gnd Algebraische Mannigfaltigkeit (DE-588)4128509-8 gnd |
subject_GND | (DE-588)4494748-3 (DE-588)4128509-8 |
title | Birational geometry of algebraic varieties |
title_auth | Birational geometry of algebraic varieties |
title_exact_search | Birational geometry of algebraic varieties |
title_full | Birational geometry of algebraic varieties János Kollár, Shigefumi Mori, with the collaboration of C.H. Clemens and A. Corti |
title_fullStr | Birational geometry of algebraic varieties János Kollár, Shigefumi Mori, with the collaboration of C.H. Clemens and A. Corti |
title_full_unstemmed | Birational geometry of algebraic varieties János Kollár, Shigefumi Mori, with the collaboration of C.H. Clemens and A. Corti |
title_short | Birational geometry of algebraic varieties |
title_sort | birational geometry of algebraic varieties |
topic | Surfaces, Algebraic Algebraic varieties Birationale Geometrie (DE-588)4494748-3 gnd Algebraische Mannigfaltigkeit (DE-588)4128509-8 gnd |
topic_facet | Surfaces, Algebraic Algebraic varieties Birationale Geometrie Algebraische Mannigfaltigkeit |
url | https://doi.org/10.1017/CBO9780511662560 |
work_keys_str_mv | AT kollarjanos birationalgeometryofalgebraicvarieties AT morishigefumi birationalgeometryofalgebraicvarieties AT clemenscharlesherbert birationalgeometryofalgebraicvarieties |