Introduction to the Mori Program:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
2002
|
| Series: | Universitext
|
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | This book started as a collection of personal notes that I made to help me to understand what we call the Mori program, a program that emerged in the last two decades as an effective approach toward the biregular and/or birational classification theory of higher-dimensional algebraic varieties. In some literatures the Mori program restrictively refers to an algorithm, called the minimal model program, to produce minimal models of higher-dimensional algebraic varieties. (Classically, the construction of minimal models was known only for algebraic varieties of dimension less than or equal to 2. ) Here in this book, however, we use the word in a broader sense to represent a unifying scheme that is a fusion of the minimal model program and the so-called Iitaka program. As such, I had no hesitation to, or rather even made elaborate efforts to, extract nice arguments from the existing literature whenever it seemed appropriate to fit them into a comprehensible development of the theory, even to the extent of copying them literally word by word. I am particularly aware of the original sources of the subject matters in the following list: Chapter 1. Barth-Peters-Van de Ven [I], Beauville [1], Clemens-Kollar-Mori [I], Griffiths-Harris [1], Hartshorne [3], litaka [5], Kawamata-Matsuda Matsuki [1], Kodaira [2][3][4][5], Kollar [5], Mori [2][3], Reid [9], Shafarevich [I], Wilson [I] Chapter 2. Iitaka [2] [3] [5], Kawamata [1][2], Vojta [1] VI Preface Chapter 3 |
| Physical Description: | 1 Online-Ressource (XXIV, 478 p) |
| ISBN: | 9781475756029 9781441931252 |
| ISSN: | 0172-5939 |
| DOI: | 10.1007/978-1-4757-5602-9 |
Staff View
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| indexdate | 2024-07-10T01:21:09Z |
| institution | BVB |
| isbn | 9781475756029 9781441931252 |
| issn | 0172-5939 |
| language | English |
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| spelling | Matsuki, Kenji Verfasser aut Introduction to the Mori Program by Kenji Matsuki New York, NY Springer New York 2002 1 Online-Ressource (XXIV, 478 p) txt rdacontent c rdamedia cr rdacarrier Universitext 0172-5939 This book started as a collection of personal notes that I made to help me to understand what we call the Mori program, a program that emerged in the last two decades as an effective approach toward the biregular and/or birational classification theory of higher-dimensional algebraic varieties. In some literatures the Mori program restrictively refers to an algorithm, called the minimal model program, to produce minimal models of higher-dimensional algebraic varieties. (Classically, the construction of minimal models was known only for algebraic varieties of dimension less than or equal to 2. ) Here in this book, however, we use the word in a broader sense to represent a unifying scheme that is a fusion of the minimal model program and the so-called Iitaka program. As such, I had no hesitation to, or rather even made elaborate efforts to, extract nice arguments from the existing literature whenever it seemed appropriate to fit them into a comprehensible development of the theory, even to the extent of copying them literally word by word. I am particularly aware of the original sources of the subject matters in the following list: Chapter 1. Barth-Peters-Van de Ven [I], Beauville [1], Clemens-Kollar-Mori [I], Griffiths-Harris [1], Hartshorne [3], litaka [5], Kawamata-Matsuda Matsuki [1], Kodaira [2][3][4][5], Kollar [5], Mori [2][3], Reid [9], Shafarevich [I], Wilson [I] Chapter 2. Iitaka [2] [3] [5], Kawamata [1][2], Vojta [1] VI Preface Chapter 3 Mathematics Geometry, algebraic Algebraic Geometry Mathematik Algebraische Varietät (DE-588)4581715-7 gnd rswk-swf Klassifikationstheorie (DE-588)4164034-2 gnd rswk-swf Algebraische Varietät (DE-588)4581715-7 s Klassifikationstheorie (DE-588)4164034-2 s 1\p DE-604 https://doi.org/10.1007/978-1-4757-5602-9 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Matsuki, Kenji Introduction to the Mori Program Mathematics Geometry, algebraic Algebraic Geometry Mathematik Algebraische Varietät (DE-588)4581715-7 gnd Klassifikationstheorie (DE-588)4164034-2 gnd |
| subject_GND | (DE-588)4581715-7 (DE-588)4164034-2 |
| title | Introduction to the Mori Program |
| title_auth | Introduction to the Mori Program |
| title_exact_search | Introduction to the Mori Program |
| title_full | Introduction to the Mori Program by Kenji Matsuki |
| title_fullStr | Introduction to the Mori Program by Kenji Matsuki |
| title_full_unstemmed | Introduction to the Mori Program by Kenji Matsuki |
| title_short | Introduction to the Mori Program |
| title_sort | introduction to the mori program |
| topic | Mathematics Geometry, algebraic Algebraic Geometry Mathematik Algebraische Varietät (DE-588)4581715-7 gnd Klassifikationstheorie (DE-588)4164034-2 gnd |
| topic_facet | Mathematics Geometry, algebraic Algebraic Geometry Mathematik Algebraische Varietät Klassifikationstheorie |
| url | https://doi.org/10.1007/978-1-4757-5602-9 |
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