Verfügbarkeit: Classification of higher dimensional algebraic varieties

Classification of higher dimensional algebraic varieties:

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Bibliographische Detailangaben
Beteiligte Personen:	Hacon, Christopher D. 1970- (VerfasserIn), Kovács, Sándor J. 1965- (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Basel [u.a.] Birkhäuser 2010
Schriftenreihe:	Oberwolfach Seminars 41
Schlagwörter:	Modulraum Komplexer projektiver Raum Algebraische Varietät
Links:	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
Umfang:	X, 208 S. graph. Darst.
ISBN:	9783034602891

Internformat

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Datensatz im Suchindex

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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-
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author_sort	Hacon, Christopher D. 1970-
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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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id	DE-604.BV025599843
illustrated	Illustrated
indexdate	2024-12-20T14:31:08Z
institution	BVB
isbn	9783034602891
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-020195393
oclc_num	698802880
open_access_boolean
owner	DE-11 DE-91G DE-BY-TUM DE-19 DE-BY-UBM DE-384
owner_facet	DE-11 DE-91G DE-BY-TUM DE-19 DE-BY-UBM DE-384
physical	X, 208 S. graph. Darst.
publishDate	2010
publishDateSearch	2010
publishDateSort	2010
publisher	Birkhäuser
record_format	marc
series	Oberwolfach Seminars
series2	Oberwolfach Seminars
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

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