Classification of higher dimensional algebraic varieties:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Basel [u.a.]
Birkhäuser
2010
|
| Series: | Oberwolfach Seminars
41 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 208 S. graph. Darst. |
| ISBN: | 9783034602891 |
Staff View
MARC
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Record in the Search Index
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| adam_text | I BASICS CONTENTS 1 INTRODUCTION 1 .A. CLASSIFICATION 3 3 2
PRELIMINARIES 2.A. NOTATION 2.B. DIVISORS 2.C. REFLEXIVE SHEAVES 2.D.
CYCLIC COVERS 2.E. E-DIVISORS IN THE RELATIVE SETTING 2.F. FAMILIES AND
BASE CHANGE 2.G. PARAMETER SPACES AND DEFORMATIONS OF FAMILIES 17 17 18
20 21 22 24 25 3 SINGULARITIES 3.A. CANONICAL SINGULARITIES 27 27
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/998031240 DIGITALISIERT
DURCH 7.B. PROOF OF (5.69) 80 VIII CONTENTS 3.B. CONES 29 3.C. LOG
CANONICAL SINGULARITIES 30 3.D. NORMAL CROSSINGS 32 3.E. PINCH POINTS 32
3.F. SEMI-LOG CANONICAL SINGULARITIES 34 3.G. PAIRS 36 3.H. VANISHING
THEOREMS 39 3.1. RATIONAL AND DU BOIS SINGULARITIES 41 II RECENT
ADVANCES IN THE MINIMAL MODEL PROGRAM 47 4 INTRODUCTION 49 5 THE MAIN
RESULT 51 5.A. THE CONE AND BASEPOINT-FREE THEOREMS 51 5.B. FLIPS AND
DIVISORIAL CONTRACTIONS 53 5.C. THE MINIMAL MODEL PROGRAM FOR SURFACES
58 5.D. THE MAIN THEOREM AND SKETCH OF PROOF 59 5.E. THE MINIMAL MODEL
PROGRAM WITH SCALING 61 5.F. PL-FLIPS 62 5.G. COROLLARIES 63 6
MULTIPLIER IDEAL SHEAVES 67 6. A. ASYMPTOTIC MULTIPLIER IDEAL SHEAVES 70
6.B. EXTENDING PLURICANONICAL FORMS 73 7 FINITE GENERATION OF THE
RESTRICTED ALGEBRA 79 7.A. RATIONALITY OF THE RESTRICTED ALGEBRA 79
13.E. PROPERNESS 130 CONTENTS IX 8 LOG TERMINAL MODELS 83 8.A. SPECIAL
TERMINATION 83 8.B. EXISTENCE OF LOG TERMINAL MODELS 85 9 NON-VANISHING
89 9.A. NAKAYAMA-ZARISKI DECOMPOSITION 89 9.B. NON-VANISHING 93 10
FLNITENESS OF LOG TERMINAL MODELS 99 III COMPACT MODULI SPACES OF
CANONICALLY POLARIZED VARIETIES 103 11 MODULI PROBLEMS 105 H.A.
REPRESENTING FUNCTORS 105 LL.B. MODULI FUNCTORS 105 U.C. COARSE MODULI
SPACES 108 12 HLLBERT SCHEMES 111 12 .A. THE GRASSMANNIAN FUNCTOR 111
12.B. THE HLLBERT FUNCTOR 114 13 THE CONSTRUCTION OF THE MODULI SPACE
117 13. A. BOUNDEDNESS 117 13.B. CONSTRUCTING THE MODULI SPACE 123 13.C.
LOCAL CLOSEDNESS 124 13. D. SEPARATEDNESS 126 INDEX 203 CONTENTS 14
FAMILIES AND MODULI FUNCTORS 133 14.A. AN IMPORTANT EXAMPLE 133 14.B.
Q-GORENSTEIN FAMILIES 135 14.C. PROJECTIVE MODULI SCHEMES 139 14.D.
MODULI OF PAIRS AND OTHER GENERALIZATIONS 140 15 SINGULARITIES OF STABLE
VARIETIES 141 15.A. SINGULARITY CRITERIA 142 15.B. APPLICATIONS TO
MODULI SPACES AND VANISHING THEOREMS 144 15.C. DEFORMATIONS OF DB
SINGULARITIES 146 16 SUB VARIETIES OF MODULI SPACES 149 16.A.
SHAFAREVICH S CONJECTURE 152 16.B. THE PARSHIN-ARAKELOVREFORMULATION 152
16.C. SHAFAREVICH S CONJECTURE FOR NUMBER FIELDS 153 16.D. FROM
SHAFAREVICH TO MORDELL: PARSHIN S TRICK 154 16.E. HYPERBOLIC1TY AND
BOUNDEDNESS 155 16.F. HIGHER DIMENSIONAL FIBERS 158 16.G. HIGHER
DIMENSIONAL BASES 160 16.H. UNIFORM AND EFFECTIVE BOUNDS 162 16.1.
TECHNIQUES 163 16.J. ALLOWING MORE GENERAL FIBERS 166 16.K. ITERATED
KODAIRA-SPENCER MAPS AND STRONG NON-ISOTRIVIALITY 168 IV SOLUTIONS AND
HINTS TO SOME OF THE EXERCISES 171 BIBLIOGRAPHY 185
|
| any_adam_object | 1 |
| author | Hacon, Christopher D. 1970- Kovács, Sándor J. 1965- |
| author_GND | (DE-588)141481870 (DE-588)141600675 |
| author_facet | Hacon, Christopher D. 1970- Kovács, Sándor J. 1965- |
| author_role | aut aut |
| author_sort | Hacon, Christopher D. 1970- |
| author_variant | c d h cd cdh s j k sj sjk |
| building | Verbundindex |
| bvnumber | BV025599843 |
| classification_rvk | SK 240 |
| ctrlnum | (OCoLC)698802880 (DE-599)BVBBV025599843 |
| dewey-full | 516.353 |
| 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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| indexdate | 2024-07-09T22:37:15Z |
| institution | BVB |
| isbn | 9783034602891 |
| language | English |
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| physical | X, 208 S. graph. Darst. |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Oberwolfach Seminars |
| series2 | Oberwolfach Seminars |
| spelling | Hacon, Christopher D. 1970- Verfasser (DE-588)141481870 aut Classification of higher dimensional algebraic varieties Christopher D. Hacon ; Sándor J. Kovács Basel [u.a.] Birkhäuser 2010 X, 208 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Oberwolfach Seminars 41 Modulraum (DE-588)4183462-8 gnd rswk-swf Komplexer projektiver Raum (DE-588)4164906-0 gnd rswk-swf Algebraische Varietät (DE-588)4581715-7 gnd rswk-swf Algebraische Varietät (DE-588)4581715-7 s Komplexer projektiver Raum (DE-588)4164906-0 s Modulraum (DE-588)4183462-8 s DE-604 Kovács, Sándor J. 1965- Verfasser (DE-588)141600675 aut Oberwolfach Seminars 41 (DE-604)BV019806550 41 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020195393&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hacon, Christopher D. 1970- Kovács, Sándor J. 1965- Classification of higher dimensional algebraic varieties Oberwolfach Seminars Modulraum (DE-588)4183462-8 gnd Komplexer projektiver Raum (DE-588)4164906-0 gnd Algebraische Varietät (DE-588)4581715-7 gnd |
| subject_GND | (DE-588)4183462-8 (DE-588)4164906-0 (DE-588)4581715-7 |
| title | Classification of higher dimensional algebraic varieties |
| title_auth | Classification of higher dimensional algebraic varieties |
| title_exact_search | Classification of higher dimensional algebraic varieties |
| title_full | Classification of higher dimensional algebraic varieties Christopher D. Hacon ; Sándor J. Kovács |
| title_fullStr | Classification of higher dimensional algebraic varieties Christopher D. Hacon ; Sándor J. Kovács |
| title_full_unstemmed | Classification of higher dimensional algebraic varieties Christopher D. Hacon ; Sándor J. Kovács |
| title_short | Classification of higher dimensional algebraic varieties |
| title_sort | classification of higher dimensional algebraic varieties |
| topic | Modulraum (DE-588)4183462-8 gnd Komplexer projektiver Raum (DE-588)4164906-0 gnd Algebraische Varietät (DE-588)4581715-7 gnd |
| topic_facet | Modulraum Komplexer projektiver Raum Algebraische Varietät |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020195393&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV019806550 |
| work_keys_str_mv | AT haconchristopherd classificationofhigherdimensionalalgebraicvarieties AT kovacssandorj classificationofhigherdimensionalalgebraicvarieties |