Morphisms of projective varieties from the viewpoint of minimal model theory:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Warszawa
Polska Akad. Nauk, Inst. Matematyczny
2003
|
| Schriftenreihe: | Dissertationes mathematicae
413 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 72 S. |
Internformat
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Datensatz im Suchindex
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| adam_text | POLSKA AKADEMIA NAUK, INSTYTUT MATEMATYCZNY D I S S E R T A T I O N E S
M A T H E M A T I C A E (ROZPRAWY MATEMATYCZNE) KOMITET REDAKCYJNY
ANDRZEJ BIALYNICKI-BIRULA, BOGDAN BOJARSKI, ZBIGNIEW CIESIELSKI, LUDOMIR
NEWELSKI, ZBIGNIEW SEMADENI, JERZY ZABCZYK REDAKTOR, WIESLAW ZELAZKO
ZAST^PCA REDAKTORA 413 MARCO ANDREATTA AND MASSIMILIANO MELLA MORPHISMS
OF PROJECTIVE VARIETIES FROM THE VIEWPOINT OF MINIMAL MODEL THEORY SUB
GOTTINGEN 7 210 439 858 WARSZAWA 2003 CONTENTS INTRODUCTION 5 PART 1.
PRELIMINARIES 6 1.1. THE KLEIMAN-MORI CONE OF A PROJECTIVE VARIETY 6
1.2. FUJITA ZI-GENUS 9 PART 2. BASE POINT FREE TECHNIQUES 11 2.1. BASE
POINT FREENESS 11 2.2. SINGULARITIES AND LOG SINGULARITIES 15 2.2.1. HOW
TO USE SINGULARITIES AND THE CLC LOCUS TO PROVE BASE POINT FREE-TYPE
THEOREMS 17 2.3. EXERCISES AND EXAMPLES 18 PART 3. FANO-MORI OR EXTREMAL
CONTRACTIONS 19 3.1. CONTRACTIONS ASSOCIATED TO A RAY OF THE
KLEIMAN-MORI CONE 19 3.1.1. LOCAL CONTRACTION 20 3.2. EXAMPLES 21 3.3.
RELATIVE BASE POINT FREENESS ON FANO-MORI CONTRACTIONS 23 PART 4.
BIREGULAR GEOMETRY 28 4.1. FANO-MORI CONTRACTIONS ON A SMOOTH N-FOLD
WITH N 4 29 4.2. FANO-MORI CONTRACTIONS ON A SMOOTH N-FOLD WITH FIBERS
OF SMALL DIMENSION 33 4.3. THE FIBERS OF A FANO-MORI CONTRACTION 34
4.3.1. USING THE VANISHING THEOREM 34 4.3.2. EXISTENCE OF A LADDER FOR A
FIBER OF A F-M CONTRACTION; HORIZONTAL SLICING 35 4.3.3. RATIONAL CURVES
ON THE FIBER OF F-M CONTRACTIONS 38 4.4. THE DESCRIPTION OF THE NORMAL
BUNDLE OF A FIBER OF A F-M CONTRACTION 42 4.5. WHEN DOES THE NORMAL OF A
FIBER DETERMINES LOCALLY THE CONTRACTION? 47 4.6. CONCLUDING REMARKS ON
THE CLASSIFICATION OF FANO-MORI CONTRACTIONS ON A SMOOTH N-FOLD WITH N
4 .48 4.7. CLASSIFICATION OF FANO MANIFOLDS OF HIGH INDEX * 50 PART 5.
BIRATIONAL GEOMETRY 55 5.1. MINIMAL MODEL PROGRAM PHILOSOPHY -55 5.2.
THE BIRATIONAL GEOMETRY OF THE PLANE 59 5.3. #-MINIMAL MODEL 64 5.4.
APPLICATIONS OF THE #-PROGRAM 66 BIBLIOGRAPHY 69 2000 MATHEMATICS
SUBJECT CLASSIFICATION: PRIMARY 14E30, 14J40; SECONDARY 14J30, 32H02.
KEY WORDS AND PHRASES: FANO-MORI SPACES, CONTRACTIONS, BASE POINT
FREENESS, SUB-ADJUNCTION, EXTREMAL RAY. RECEIVED 5.4.2001; REVISED
VERSION 8.5.2002.
|
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T19:16:53Z |
| institution | BVB |
| language | English |
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| physical | 72 S. |
| publishDate | 2003 |
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| publisher | Polska Akad. Nauk, Inst. Matematyczny |
| record_format | marc |
| series | Dissertationes mathematicae |
| series2 | Dissertationes mathematicae |
| spelling | Andreatta, Marco Verfasser aut Morphisms of projective varieties from the viewpoint of minimal model theory Marco Andreatta and Massimiliano Mella Warszawa Polska Akad. Nauk, Inst. Matematyczny 2003 72 S. txt rdacontent n rdamedia nc rdacarrier Dissertationes mathematicae 413 Adjunction theory Algebraic varieties Contractions (Topology) Morphisms (Mathematics) Projektiver Raum (DE-588)4175893-6 gnd rswk-swf Projektive Mannigfaltigkeit (DE-588)4175888-2 gnd rswk-swf Projektiver Raum (DE-588)4175893-6 s Projektive Mannigfaltigkeit (DE-588)4175888-2 s DE-604 Mella, Massimiliano Verfasser aut Dissertationes mathematicae 413 (DE-604)BV000003039 413 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010453880&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Andreatta, Marco Mella, Massimiliano Morphisms of projective varieties from the viewpoint of minimal model theory Dissertationes mathematicae Adjunction theory Algebraic varieties Contractions (Topology) Morphisms (Mathematics) Projektiver Raum (DE-588)4175893-6 gnd Projektive Mannigfaltigkeit (DE-588)4175888-2 gnd |
| subject_GND | (DE-588)4175893-6 (DE-588)4175888-2 |
| title | Morphisms of projective varieties from the viewpoint of minimal model theory |
| title_auth | Morphisms of projective varieties from the viewpoint of minimal model theory |
| title_exact_search | Morphisms of projective varieties from the viewpoint of minimal model theory |
| title_full | Morphisms of projective varieties from the viewpoint of minimal model theory Marco Andreatta and Massimiliano Mella |
| title_fullStr | Morphisms of projective varieties from the viewpoint of minimal model theory Marco Andreatta and Massimiliano Mella |
| title_full_unstemmed | Morphisms of projective varieties from the viewpoint of minimal model theory Marco Andreatta and Massimiliano Mella |
| title_short | Morphisms of projective varieties from the viewpoint of minimal model theory |
| title_sort | morphisms of projective varieties from the viewpoint of minimal model theory |
| topic | Adjunction theory Algebraic varieties Contractions (Topology) Morphisms (Mathematics) Projektiver Raum (DE-588)4175893-6 gnd Projektive Mannigfaltigkeit (DE-588)4175888-2 gnd |
| topic_facet | Adjunction theory Algebraic varieties Contractions (Topology) Morphisms (Mathematics) Projektiver Raum Projektive Mannigfaltigkeit |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010453880&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003039 |
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