Last edited by Mezishicage

Wednesday, August 12, 2020 | History

3 edition of **Birational algebraic geometry =** found in the catalog.

- 117 Want to read
- 22 Currently reading

Published
**1997**
by American Mathematical Society in Providence, RI
.

Written in English

- Geometry, Algebraic -- Congresses.

**Edition Notes**

Includes bibliographical references.

Other titles | Nichi-Bei sūgaku Kenkyūjo |

Statement | Yujiro Kawamata, Vyacheslav V. Shokurov, editors. |

Series | Contemporary mathematics ;, 207, Contemporary mathematics (American Mathematical Society) ;, v. 207. |

Contributions | Chow, Wei-Liang, 1911-1995., Kawamata, Yujiro, 1952-, Shokurov, Vyacheslav V., 1950- |

Classifications | |
---|---|

LC Classifications | QA564 .B49 1997 |

The Physical Object | |

Pagination | xx, 152 p. : |

Number of Pages | 152 |

ID Numbers | |

Open Library | OL662479M |

ISBN 10 | 0821807692 |

LC Control Number | 97007968 |

Birational Geometry of Algebraic Varieties: Janos Kollár, Shigefumi Mori: Books - or: Janos Kollár, Shigefumi Mori. The main goal of this book is to present the so-called birational Arakelov geometry, which can be viewed as an arithmetic analog of the classical birational geometry, i.e., the study of big linear series on algebraic varieties.

Stack Exchange network consists of Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share . Final Exam of Algebraic Geometry II noon May 6 to noon May 7, Don’t forget to write down clearly your Name: and MIT ID: Instructions. The exam contains 5 problems, adding up to points. Please show necessary reasoning and/or computation. Any theorem in the text of the book can be directly used without further arguments.

Beginning algebraic geometers are well served by Uneno's inviting introduction to the language of schemes. Grothendieck's schemes and Zariski's emphasis on algebra and rigor are primary sources for this introduction to a rich mathematical subject. Ueno's book is a self-contained text suitable for an introductory course on algebraic geometry. Since the late s, methods of birational geometry have been used successfully in the theory of linear algebraic groups, especially in arithmetic problems. This book—which can be viewed as a significant revision of the author's book, Algebraic Tori (Nauka, Moscow, )—studies birational properties of linear algebraic groups focusing on.

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Birational Geometry Algebraic Var (Cambridge Tracts in Mathematics) 1st Edition by Janos Koll¿r (Author) ISBN ISBN Why is ISBN important. ISBN. This bar-code number lets you verify that you're getting exactly the right version or edition of a book. The digit and digit formats both by: The aim of this book is to introduce the reader to the geometric theory of algebraic varieties, in particular to the birational geometry of algebraic varieties.

This volume grew out of the author's book in Japanese published in 3 volumes by Iwanami, Tokyo, in While writing this EnglishBrand: Springer-Verlag New York.

One of the major discoveries of the past two decades in algebraic geometry is the realization that the theory of minimal models of surfaces can be generalized to higher dimensional varieties.

This generalization, called the minimal model program, or Mori's program, has developed into a powerful tool with applications to diverse questions in algebraic geometry and beyond.

Birational Geometry of Algebraic Varieties Janos Kollár, Shigefumi Mori One of the major discoveries of the last two decades of the twentieth century in algebraic geometry is the realization that the theory of minimal models of surfaces can be generalized to higher dimensional varieties.

Birational Geometry of Algebraic Varieties has developed into a powerful tool with applications to diverse questions in algebraic geometry and beyond.

This book provides the first comprehensive introduction to the circle of ideas developed around the program, the prerequisites being only a basic knowledge of algebraic geometry.

In mathematics, birational geometry is a field of algebraic geometry in which the goal is to determine when two algebraic varieties are isomorphic outside lower-dimensional subsets. This amounts to studying mappings that are given by rational functions rather than polynomials; the map may fail to be defined where the rational functions have poles.

Prom the beginnings of algebraic geometry it has been understood that birationally equivalent varieties have many properties in common.

Thus it is natural to attempt to find in each birational equivalence class a variety which is simplest in some sense, and then study these varieties in detail. Elisabetta Colombo is Associate Professor of Geometry at the University of research field is complex algebraic geometry, and she studies mainly curves and abelian varieties and their moduli.

Barbara Fantechi is Full Professor in Geometry at SISSA-ISAS in research interests include deformation theory, derived algebraic geometry, and stacks. The book An Invitation to Algebraic Geometry by Karen Smith et al.

is excellent "for the working or the aspiring mathematician who is unfamiliar with algebraic geometry but wishes to gain an appreciation of its foundations and its goals with a minimum of prerequisites,". The aim of this book is to describe the underlying principles of algebraic geometry, some of its important developments in the twentieth century, and some of the problems that occupy its practitioners today.

It is intended for the working or the aspiring mathematician who is unfamiliar with algebraic geometry but wishes to gain an appreciation of its foundations and its goals with a minimum of 5/5(1). Bringing together specialists from projective, birational algebraic geometry and affine and complex algebraic geometry, including Mori theory and algebraic group actions, this book is the result of ensuing talks and discussions from the conference “Groups of Automorphisms in Birational and Affine Geometry” held in Octoberat the CIRM.

Birational Geometry of Algebraic Varieties (Cambridge Tracts in Mathematics Book ) - Kindle edition by Kollár, Janos, Mori, Shigefumi. Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Birational Geometry of Algebraic Varieties (Cambridge Tracts in Mathematics Book ).Manufacturer: Cambridge University Press.

Donu Arapura, Algebraic geometry over the complex numbers, Springer Universitextpp. Mori program and birational geometry. János Kollár, Shigefumi Mori, Birational geometry of algebraic varieties, With the collaboration of C. Clemens and A. Corti. Translated from the Japanese original.

Iitaka, "Algebraic geometry, an introduction to birational geometry of algebraic varieties", Springer () Zbl [9] R. Hartshorne, "Algebraic geometry", Springer () MR Zbl.

This book presents proceedings from the Japan-U.S. Mathematics Institute (JAMI) Conference on Birational Algebraic Geometry in Memory of Wei-Liang Chow, held at the Johns Hopkins University in Baltimore in April These proceedings bring to light the many directions in which birational algebraic geometry is headed.

This book is addressed to researchers and graduate students in algebraic geometry, singularity theory, and algebraic topology. Most of the material in this volume has not yet appeared in book form. A publication of the European Mathematical Society (EMS).

Distributed within the Americas by the American Mathematical Society. Birational Geometry of Algebraic Varieties by Janos Kollar,available at Book Depository with free delivery worldwide.4/5(2). Birational Geometry of Algebraic Varieties book.

Read 2 reviews from the world's largest community for readers. One of the major discoveries of the past 4/5. Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate algebraic geometry is based on the use of abstract algebraic techniques, mainly from commutative algebra, for solving geometrical problems about these sets of zeros.

The fundamental objects of study in algebraic geometry are algebraic varieties, which are geometric manifestations of. / Mathematics Books / Geometry Books / Arithmetic Geometry Books / Algebraic and Arithmetic Geometry This note covers the following topics: Rational points on varieties, Heights, Arakelov Geometry, Abelian Varieties, The Brauer-Manin Obstruction, Birational Geomery, Statistics of Rational Points, Zeta functions.

Featuring a blend of original research papers and comprehensive surveys from an international team of leading researchers in the thriving fields of foliation theory, holomorphic foliations, and birational geometry, this book presents the proceedings of the conference "Foliation Theory in Algebraic Geometry," hosted by the Simons Foundation in New York City in September This book features recent developments in a rapidly growing area at the interface of higher-dimensional birational geometry and arithmetic geometry.

It focuses on the geometry of spaces of rational curves, with an emphasis on applications to arithmetic questions. Classically, arithmetic is the study of rational or integral solutions of diophantine equations and geometry is the study of lines.Lectures at the Utah School on birational geometry and moduli spaces, June Books: Surveys on recent developments in algebraic geometry (edited with Tommaso de Fernex and Angela Gibney) (Available here) Papers and preprints: Comments, corrections and suggestions are always welcome.