Zariski-decomposition and abundance:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Tokyo
Mathematical Soc. of Japan
2004
|
| Schriftenreihe: | MSJ memoirs
14 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Inhaltsverzeichnis |
| Beschreibung: | XIII, 277 S. |
| ISBN: | 9784931469310 4931469310 |
Internformat
MARC
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Datensatz im Suchindex
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| adam_text | ZARISKI-DECOMPOSITION AND ABUNDANCE NOBORU NAKAYAMA RESEARCH INSTITUTE
FOR MATHEMATICAL SCIENCES, KYOTO UNIVERSITY, KYOTO 606-8502 JAPAN E-MAIL
ADDRESS: NAKAYAMAQKTIRIMS.KYOTO-U.AC.JP DEDICATED TO PROFESSOR SHIGERU
IITAKA ON THE OCCASION OF HIS SIXTIETH BIRTHDAY CONTENTS PREFACE III
CHAPTER I. OVERVIEW 1 1. INTRODUCTION 1 L.A. ZARISKI-DECOMPOSITION 1
L.B. NUMERICAL D-DIMENSION 5 I.E. CANONICAL DIVISOR 6 L.D. ADDITION
THEOREM 8 I.E. INVARIANCE OF PLURIGENERA 8 L.F. LOG-TERMINAL
SINGULARITIES 9 2. HISTORY 10 3. NOTATION 11 CHAPTER II. PRELIMINARIES
13 1. COMPLEX ANALYTIC VARIETIES 13 L.A. GENERAL THEORY 13 L.B. SPEC AND
PROJ 15 I.E. AMPLE LINE BUNDLES 23 L.D. BIMEROMORPHIC GEOMETRY 27 2.
DIVISORS 29 2.A. WEIL AND CARTIER DIVISORS 29 2.B. REFLEXIVE SHEAVES OF
RANK ONE 30 2.C. INTERSECTION NUMBERS 33 2.D. Q-DIVISORS AND R-DIVISORS
35 2.E. PULLBACK AND PUSH-FORWARD 38 3. D-DIMENSION 42 3.A. LINEAR
SYSTEMS OF R-DIVISORS 42 3.B. D-DIMENSIONS OF R-DIVISORS 45 3.C.
RELATIVE .D-DIMENSION 50 3.D. BIG DIVISORS 52 4. CANONICAL DIVISOR * 54
4.A. KODAIRA DIMENSION 54 4.B. LOGARITHMIC RAMIFICATION FORMULA 55 4.C.
TERMINAL, CANONICAL, AND LOG-TERMINAL SINGULARITIES 59 XII CONTENTS 4.D.
BIMEROMORPHIC PAIRS 60 5. NUMERICAL PROPERTIES OF DIVISORS 62 5.A. AMPLE
AND NEF CONES 62 5.B. BIG AND PSEUDO-EFFECTIVE CONES 63 5.C. VANISHING
THEOREMS 65 5.D. RELATIVE NUMERICAL PROPERTIES 67 6. ALGEBRAIC CYCLES 72
6.A. CHOW GROUPS 72 6.B. CHERN CLASSES OF VECTOR BUNDLES 73 6.C.
SEMISTABLE VECTOR BUNDLES 77 CHAPTER III. ZARISKI-DECOMPOSITION PROBLEM
79 1. CR-DECOMPOSITION 79 L.A. INVARIANTS ERR AND RP 79 L.B.
ZARISKI-DECOMPOSITION PROBLEM 85 2. INVARIANT A ALONG SUBVARIETIES 88 3.
^-DECOMPOSITION 93 4. RELATIVE VERSION 97 4.A. RELATIVE A-DECOMPOSITION
97 4.B. THREEFOLDS 100 5. PULLBACKS OF DIVISORS 103 5.A. REMARKS ON
EXCEPTIONAL DIVISORS 103 5.B. MUMFORD PULLBACK 107 5.C.
(T-DECOMPOSITIONS OF PULLBACKS 110 CHAPTER IV. DIVISORS ON BUNDLES 113
1. TORIC VARIETIES 113 L.A. FANS 113 L.B. SUPPORT FUNCTIONS 117 I.E.
RELATIVE TORIC SITUATIONS 123 2. TORIC BUNDLES 127 2.A. DEFINITION OF
TORIC BUNDLES 127 2.B. PSEUDO-EFFECTIVE DIVISORS ON TORIC BUNDLES 129
2.C. EXAMPLES OF TORIC BUNDLES 133 2.D. EXPLICIT TORIC BLOWING-UP 138 3.
VECTOR BUNDLES OVER A CURVE 142 3.A. FILTRATION OF VECTOR BUNDLES 142
3.B. PROJECTIVE BUNDLES OVER A CURVE , 146 4. NORMALIZED TAUTOLOGICAL
DIVISORS 153 4.A. PROJECTIVELY FLATNESS AND SEMI-STABILITY . 153 4.B.
THE CASE OF VECTOR BUNDLES OF RANK TWO 157 CHAPTER V. NUMERICAL KODAIRA
DIMENSION 165 1. PSEUDO-EFFECTIVE R-DIVISORS 165 CONTENTS XIII L.A.
BASE-POINT FREENESS 165 L.B. RESTRICTION TO GENERAL SUBVARIETIES 170 2.
NUMERICAL D-DIMENSIONS 173 2.A. NUMERICAL D-DIMENSIONS FOR NEF
R-DIVISORS 173 2.B. K A 174 2.C. NUMERICAL DOMINATION 177 2.D. K V 181
2.E. GEOMETRICALLY ABUNDANT DIVISORS 184 3. DIRECT IMAGES OF CANONICAL
SHEAVES 187 3.A. VARIATION OF HODGE STRUCTURE 187 3.B. W-SHEAVES 192
3.C. WEAK POSITIVITY AND PSEUDO-EFFECTIVITY 199 3.D. W-SHEAVES AND WEAK
POSITIVITY 205 3.E. DIRECT IMAGES OF RELATIVE PLURICANONICAL SHEAVES 209
4. ABUNDANCE AND ADDITION 220 4.A. ADDITION THEOREM 220 4.B. ABUNDANCE
THEOREM FOR K A = 0 225 CHAPTER VI. INVARIANCE OF PLURIGENERA 229 1.
BACKGROUND 229 2. SPECIAL IDEALS 230 2.A. SETTING 230 2.B. INCLUSIONS OF
IDEALS 235 3. SURJECTIVITY OF RESTRICTION MAPS 238 3.A. BIG CASE 238
3.B. ABUNDANT CASE 244 4. DEGENERATION OF PROJECTIVE VARIETIES 250 5.
DEFORMATION OF SINGULARITIES 252 CHAPTER VII. AROUND LOG-TERMINAL
SINGULARITIES 257 1. ADMISSIBLE AND STRONGLY LOG-CANONICAL SINGULARITIES
258 L.A. ADMISSIBLE SINGULARITIES 258 L.B. QUASI LOG-TERMINAL AND
STRONGLY LOG-CANONICAL SINGULARITIES 261 2. MINIMAL MODEL PROGRAM 263 3.
W-SHEAVES AND LOG-TERMINAL SINGULARITIES 267 BIBLIOGRAPHY 269 INDEX 275
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| bvnumber | BV036442840 |
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| ctrlnum | (OCoLC)254626746 (DE-599)GBV48081032X |
| discipline | Mathematik |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T22:39:31Z |
| institution | BVB |
| isbn | 9784931469310 4931469310 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020315159 |
| oclc_num | 254626746 |
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| physical | XIII, 277 S. |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Mathematical Soc. of Japan |
| record_format | marc |
| series | MSJ memoirs |
| series2 | MSJ memoirs |
| spelling | Nakayama, Noboru Verfasser aut Zariski-decomposition and abundance Noboru Nakayama Tokyo Mathematical Soc. of Japan 2004 XIII, 277 S. txt rdacontent n rdamedia nc rdacarrier MSJ memoirs 14 Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf Zariski-Topologie (DE-588)4190537-4 gnd rswk-swf Algebraische Geometrie (DE-588)4001161-6 s Zariski-Topologie (DE-588)4190537-4 s DE-604 MSJ memoirs 14 (DE-604)BV013976406 14 http://www.gbv.de/dms/goettingen/48081032X.pdf Inhaltsverzeichnis GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020315159&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Nakayama, Noboru Zariski-decomposition and abundance MSJ memoirs Algebraische Geometrie (DE-588)4001161-6 gnd Zariski-Topologie (DE-588)4190537-4 gnd |
| subject_GND | (DE-588)4001161-6 (DE-588)4190537-4 |
| title | Zariski-decomposition and abundance |
| title_auth | Zariski-decomposition and abundance |
| title_exact_search | Zariski-decomposition and abundance |
| title_full | Zariski-decomposition and abundance Noboru Nakayama |
| title_fullStr | Zariski-decomposition and abundance Noboru Nakayama |
| title_full_unstemmed | Zariski-decomposition and abundance Noboru Nakayama |
| title_short | Zariski-decomposition and abundance |
| title_sort | zariski decomposition and abundance |
| topic | Algebraische Geometrie (DE-588)4001161-6 gnd Zariski-Topologie (DE-588)4190537-4 gnd |
| topic_facet | Algebraische Geometrie Zariski-Topologie |
| url | http://www.gbv.de/dms/goettingen/48081032X.pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020315159&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV013976406 |
| work_keys_str_mv | AT nakayamanoboru zariskidecompositionandabundance |
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