Geometry of higher dimensional algebraic varieties:
Gespeichert in:
Format: | Buch |
---|---|
Sprache: | German |
Veröffentlicht: |
Basel [u.a.]
Birkhäuser
1997
|
Schriftenreihe: | Deutsche Mathematiker-Vereinigung: DMV-Seminar
26 |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | Literaturangaben |
Beschreibung: | 217 S. |
ISBN: | 3764354909 0817654909 |
Internformat
MARC
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245 | 1 | 0 | |a Geometry of higher dimensional algebraic varieties |c Yoichi Miyaoka ; Thomas Peternell |
264 | 1 | |a Basel [u.a.] |b Birkhäuser |c 1997 | |
300 | |a 217 S. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
490 | 1 | |a Deutsche Mathematiker-Vereinigung: DMV-Seminar |v 26 | |
500 | |a Literaturangaben | ||
650 | 4 | |a Algebraic varieties | |
650 | 4 | |a Algebraic varieties |x Classification theory | |
650 | 4 | |a Complex manifolds | |
650 | 0 | 7 | |a Komplexe algebraische Mannigfaltigkeit |0 (DE-588)4285867-7 |2 gnd |9 rswk-swf |
655 | 7 | |0 (DE-588)1071861417 |a Konferenzschrift |y 1995 |z Oberwolfach |2 gnd-content | |
689 | 0 | 0 | |a Komplexe algebraische Mannigfaltigkeit |0 (DE-588)4285867-7 |D s |
689 | 0 | |5 DE-604 | |
700 | 1 | |a Miyaoka, Yoichi |e Sonstige |4 oth | |
700 | 1 | |a Peternell, Thomas |d 1954- |e Sonstige |0 (DE-588)133675394 |4 oth | |
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Datensatz im Suchindex
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adam_text | Contents
Preface vi
Part I
Geometry of Rational Curves on Varieties
Introduction: Why Rational Curves 3
Lecture I: Deformations and Rational Curves 6
Lecture II: Construction of Non-Trivial Deformations via Frobenius 28
Lecture III: Foliations and Purely Inseparable Coverings 52
Lecture IV: Abundance for Minimal 3-Folds 75
Lecture V: Rationally Connected Fibrations and Applications 97
References 121
Part II
An Introduction to the Classification
of Higher dimensional Complex Varieties
Preface 131
Prerequisites 133
N Notations 133
0 Surfaces and a first View to Higher Dimensions 135
1 Sigularities 137
2 Vanishing Theorems 145
3 The Ample Cone 152
4 The Base Point Free Theorem 155
5 The Cone Theorem 165
6 Fano Manifolds and the Structure of Contractions
of Extremal Rays 169
7 Surfaces and Threefolds 178
8 Minimal Models 186
9 A View to Adjunction Theory 196
10 Calabi-Yau Threefolds 201
References 206
Index 215
|
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author_GND | (DE-588)133675394 |
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callnumber-first | Q - Science |
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ctrlnum | (OCoLC)246594384 (DE-599)BVBBV011196413 |
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dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 516 - Geometry |
dewey-raw | 516.353 |
dewey-search | 516.353 |
dewey-sort | 3516.353 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Book |
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id | DE-604.BV011196413 |
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indexdate | 2024-07-09T18:05:37Z |
institution | BVB |
isbn | 3764354909 0817654909 |
language | German |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007510060 |
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physical | 217 S. |
publishDate | 1997 |
publishDateSearch | 1997 |
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publisher | Birkhäuser |
record_format | marc |
series | Deutsche Mathematiker-Vereinigung: DMV-Seminar |
series2 | Deutsche Mathematiker-Vereinigung: DMV-Seminar |
spelling | Geometry of higher dimensional algebraic varieties Yoichi Miyaoka ; Thomas Peternell Basel [u.a.] Birkhäuser 1997 217 S. txt rdacontent n rdamedia nc rdacarrier Deutsche Mathematiker-Vereinigung: DMV-Seminar 26 Literaturangaben Algebraic varieties Algebraic varieties Classification theory Complex manifolds Komplexe algebraische Mannigfaltigkeit (DE-588)4285867-7 gnd rswk-swf (DE-588)1071861417 Konferenzschrift 1995 Oberwolfach gnd-content Komplexe algebraische Mannigfaltigkeit (DE-588)4285867-7 s DE-604 Miyaoka, Yoichi Sonstige oth Peternell, Thomas 1954- Sonstige (DE-588)133675394 oth Deutsche Mathematiker-Vereinigung: DMV-Seminar 26 (DE-604)BV000020322 26 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007510060&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Geometry of higher dimensional algebraic varieties Deutsche Mathematiker-Vereinigung: DMV-Seminar Algebraic varieties Algebraic varieties Classification theory Complex manifolds Komplexe algebraische Mannigfaltigkeit (DE-588)4285867-7 gnd |
subject_GND | (DE-588)4285867-7 (DE-588)1071861417 |
title | Geometry of higher dimensional algebraic varieties |
title_auth | Geometry of higher dimensional algebraic varieties |
title_exact_search | Geometry of higher dimensional algebraic varieties |
title_full | Geometry of higher dimensional algebraic varieties Yoichi Miyaoka ; Thomas Peternell |
title_fullStr | Geometry of higher dimensional algebraic varieties Yoichi Miyaoka ; Thomas Peternell |
title_full_unstemmed | Geometry of higher dimensional algebraic varieties Yoichi Miyaoka ; Thomas Peternell |
title_short | Geometry of higher dimensional algebraic varieties |
title_sort | geometry of higher dimensional algebraic varieties |
topic | Algebraic varieties Algebraic varieties Classification theory Complex manifolds Komplexe algebraische Mannigfaltigkeit (DE-588)4285867-7 gnd |
topic_facet | Algebraic varieties Algebraic varieties Classification theory Complex manifolds Komplexe algebraische Mannigfaltigkeit Konferenzschrift 1995 Oberwolfach |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007510060&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV000020322 |
work_keys_str_mv | AT miyaokayoichi geometryofhigherdimensionalalgebraicvarieties AT peternellthomas geometryofhigherdimensionalalgebraicvarieties |