عنوان

Introduction to the Mori Program

شابک

9781441931252

شابک

9781475756029

شماره

dltt

عنوان اصلي

Introduction to the Mori Program

نام عام مواد

[Book]

نام نخستين پديدآور

by Kenji Matsuki.

محل نشرو پخش و غیره

New York, NY :

نام ناشر، پخش کننده و غيره

Imprint: Springer,

تاریخ نشرو بخش و غیره

2002.

عنوان فروست

Universitext,

شاپا ي ISSN فروست

0172-5939

متن يادداشت

Introduction: The Tale of the Mori Program -- 1 Birational Geometry of Surfaces -- 2 Logarithmic Category -- 3 Overview of the Mori Program -- 4 Singularities -- 5 Vanishing Theorems -- 6 Base Point Freeness of Adjoint Linear Systems -- 7 Cone Theorem -- 8 Contraction Theorem -- 9 Flip -- 10 Cone Theorem Revisited -- 11 Logarithmic Mori Program -- 12 Birational Relation among Minimal Models -- 13 Birational Relation Among Mori Fiber Spaces -- 14 Birational Geometry of Tonic Varieties -- References.

بدون عنوان

0

متن يادداشت

This book started as a collection of personal notes that I made to help me to un derstand 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 classifica tion 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 di mension 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.

شماره استاندارد بين المللي کتاب و موسيقي

9781441931252

عنوان

Springer eBooks

موضوع مستند نشده

Geometry, Algebraic.

موضوع مستند نشده

Mathematics.

مستند نام اشخاص تاييد نشده

Matsuki, Kenji.

مستند نام تنالگان تاييد نشده

SpringerLink (Online service)

تاريخ عمليات

20190307154600.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y