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Flips for 3-folds and 4-folds

Flips for 3-folds and 4-folds PDF Author: Alessio Corti
Publisher: OUP Oxford
ISBN: 0191524719
Category : Mathematics
Languages : en
Pages : 200

Book Description
This edited collection of chapters, authored by leading experts, provides a complete and essentially self-contained construction of 3-fold and 4-fold klt flips. A large part of the text is a digest of Shokurov's work in the field and a concise, complete and pedagogical proof of the existence of 3-fold flips is presented. The text includes a ten page glossary and is accessible to students and researchers in algebraic geometry.

Flips for 3-folds and 4-folds

Flips for 3-folds and 4-folds PDF Author: Alessio Corti
Publisher: OUP Oxford
ISBN: 0191524719
Category : Mathematics
Languages : en
Pages : 200

Book Description
This edited collection of chapters, authored by leading experts, provides a complete and essentially self-contained construction of 3-fold and 4-fold klt flips. A large part of the text is a digest of Shokurov's work in the field and a concise, complete and pedagogical proof of the existence of 3-fold flips is presented. The text includes a ten page glossary and is accessible to students and researchers in algebraic geometry.

Flips for 3-folds and 4-folds

Flips for 3-folds and 4-folds PDF Author: Alessio Corti
Publisher: Oxford University Press, USA
ISBN: 0198570619
Category : Language Arts & Disciplines
Languages : en
Pages : 200

Book Description
Aimed at graduates and researchers in algebraic geometry, this collection of edited chapters provides a complete and essentially self-contained account of the construction of 3-fold and 4-fold klt flips.

Complex Algebraic Threefolds

Complex Algebraic Threefolds PDF Author: Masayuki Kawakita
Publisher: Cambridge University Press
ISBN: 1108946038
Category : Mathematics
Languages : en
Pages : 504

Book Description
The first book on the explicit birational geometry of complex algebraic threefolds, this detailed text covers all the knowledge of threefolds needed to enter the field of higher dimensional birational geometry. Containing over 100 examples and many recent results, it is suitable for advanced graduate students as well as researchers.

Proceedings Of The International Congress Of Mathematicians 2010 (Icm 2010) (In 4 Volumes) - Vol. I: Plenary Lectures And Ceremonies, Vols. Ii-iv: Invited Lectures

Proceedings Of The International Congress Of Mathematicians 2010 (Icm 2010) (In 4 Volumes) - Vol. I: Plenary Lectures And Ceremonies, Vols. Ii-iv: Invited Lectures PDF Author: Rajendra Bhatia
Publisher: World Scientific
ISBN: 9814462934
Category : Mathematics
Languages : en
Pages : 4137

Book Description
ICM 2010 proceedings comprises a four-volume set containing articles based on plenary lectures and invited section lectures, the Abel and Noether lectures, as well as contributions based on lectures delivered by the recipients of the Fields Medal, the Nevanlinna, and Chern Prizes. The first volume will also contain the speeches at the opening and closing ceremonies and other highlights of the Congress.

 PDF Author:
Publisher: World Scientific
ISBN:
Category :
Languages : en
Pages : 1191

Book Description


Classification of Algebraic Varieties

Classification of Algebraic Varieties PDF Author: Carel Faber
Publisher: European Mathematical Society
ISBN: 9783037190074
Category : Algebraic varieties
Languages : en
Pages : 356

Book Description
Fascinating and surprising developments are taking place in the classification of algebraic varieties. The work of Hacon and McKernan and many others is causing a wave of breakthroughs in the minimal model program: we now know that for a smooth projective variety the canonical ring is finitely generated. These new results and methods are reshaping the field. Inspired by this exciting progress, the editors organized a meeting at Schiermonnikoog and invited leading experts to write papers about the recent developments. The result is the present volume, a lively testimony to the sudden advances that originate from these new ideas. This volume will be of interest to a wide range of pure mathematicians, but will appeal especially to algebraic and analytic geometers.

Explicit Birational Geometry of 3-folds

Explicit Birational Geometry of 3-folds PDF Author: Alessio Corti
Publisher: Cambridge University Press
ISBN: 9780521636414
Category : Mathematics
Languages : en
Pages : 364

Book Description
This volume, first published in 2000, is an integrated suite of papers centred around applications of Mori theory to birational geometry.

Analytic and Algebraic Geometry

Analytic and Algebraic Geometry PDF Author: Jeffery D. McNeal
Publisher: American Mathematical Soc.
ISBN: 0821872753
Category : Mathematics
Languages : en
Pages : 601

Book Description
"Analytic and algebraic geometers often study the same geometric structures but bring different methods to bear on them. While this dual approach has been spectacularly successful at solving problems, the language differences between algebra and analysis also represent a difficulty for students and researchers in geometry, particularly complex geometry. The PCMI program was designed to partially address this language gulf, by presenting some of the active developments in algebraic and analytic geometry in a form suitable for students on the 'other side' of the analysis-algebra language divide. One focal point of the summer school was multiplier ideals, a subject of wide current interest in both subjects. The present volume is based on a series of lectures at the PCMI summer school on analytic and algebraic geometry. The series is designed to give a high-level introduction to the advanced techniques behind some recent developments in algebraic and analytic geometry. The lectures contain many illustrative examples, detailed computations, and new perspectives on the topics presented, in order to enhance access of this material to non-specialists."--Publisher's description.

Classification of Higher Dimensional Algebraic Varieties

Classification of Higher Dimensional Algebraic Varieties PDF Author: Christopher D. Hacon
Publisher: Springer Science & Business Media
ISBN: 3034602901
Category : Mathematics
Languages : en
Pages : 206

Book Description
Higher Dimensional Algebraic Geometry presents recent advances in the classification of complex projective varieties. Recent results in the minimal model program are discussed, and an introduction to the theory of moduli spaces is presented.

Algebraic Geometry: Salt Lake City 2015

Algebraic Geometry: Salt Lake City 2015 PDF Author: Tommaso de Fernex
Publisher: American Mathematical Soc.
ISBN: 1470435772
Category : Mathematics
Languages : en
Pages : 674

Book Description
This is Part 1 of a two-volume set. Since Oscar Zariski organized a meeting in 1954, there has been a major algebraic geometry meeting every decade: Woods Hole (1964), Arcata (1974), Bowdoin (1985), Santa Cruz (1995), and Seattle (2005). The American Mathematical Society has supported these summer institutes for over 50 years. Their proceedings volumes have been extremely influential, summarizing the state of algebraic geometry at the time and pointing to future developments. The most recent Summer Institute in Algebraic Geometry was held July 2015 at the University of Utah in Salt Lake City, sponsored by the AMS with the collaboration of the Clay Mathematics Institute. This volume includes surveys growing out of plenary lectures and seminar talks during the meeting. Some present a broad overview of their topics, while others develop a distinctive perspective on an emerging topic. Topics span both complex algebraic geometry and arithmetic questions, specifically, analytic techniques, enumerative geometry, moduli theory, derived categories, birational geometry, tropical geometry, Diophantine questions, geometric representation theory, characteristic and -adic tools, etc. The resulting articles will be important references in these areas for years to come.