Rational and Nearly Rational Varieties ICM Edition

Rational and Nearly Rational Varieties ICM Edition PDF Author: Kollar
Publisher:
ISBN: 9780521168878
Category :
Languages : en
Pages :

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Rational and Nearly Rational Varieties

Rational and Nearly Rational Varieties PDF Author: János Kollár
Publisher: Cambridge University Press
ISBN: 9780521832076
Category : Mathematics
Languages : en
Pages : 246

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Book Description
The most basic algebraic varieties are the projective spaces, and rational varieties are their closest relatives. In many applications where algebraic varieties appear in mathematics and the sciences, we see rational ones emerging as the most interesting examples. The authors have given an elementary treatment of rationality questions using a mix of classical and modern methods. Arising from a summer school course taught by János Kollár, this book develops the modern theory of rational and nearly rational varieties at a level that will particularly suit graduate students. There are numerous examples and exercises, all of which are accompanied by fully worked out solutions, that will make this book ideal as the basis of a graduate course. It will act as a valuable reference for researchers whilst helping graduate students to reach the point where they can begin to tackle contemporary research problems.

On Varieties of Almost Minima Degree I

On Varieties of Almost Minima Degree I PDF Author: Markus Brodmann
Publisher:
ISBN:
Category :
Languages : en
Pages : 27

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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:
Publisher: World Scientific
ISBN: 9814324353
Category :
Languages : en
Pages : 814

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Rational Curves on Algebraic Varieties

Rational Curves on Algebraic Varieties PDF Author: Janos Kollar
Publisher: Springer Science & Business Media
ISBN: 3662032767
Category : Mathematics
Languages : en
Pages : 330

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Book Description
The aim of this book is to provide an introduction to the structure theory of higher dimensional algebraic varieties by studying the geometry of curves, especially rational curves, on varieties. The main applications are in the study of Fano varieties and of related varieties with lots of rational curves on them. This Ergebnisse volume provides the first systematic introduction to this field of study. The book contains a large number of examples and exercises which serve to illustrate the range of the methods and also lead to many open questions of current research.

Ample Subvarieties of Algebraic Varieties

Ample Subvarieties of Algebraic Varieties PDF Author: Robin Hartshorne
Publisher: Springer
ISBN: 3540363459
Category : Mathematics
Languages : en
Pages : 271

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Book Description


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

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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.

Birational Geometry of Algebraic Varieties

Birational Geometry of Algebraic Varieties PDF Author: Janos Kollár
Publisher: Cambridge University Press
ISBN: 0521632773
Category : Mathematics
Languages : en
Pages : 264

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Book Description
This book provides the first comprehensive introduction to the circle of ideas developed around Mori's program.

Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes)

Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes) PDF Author: Sirakov Boyan
Publisher: World Scientific
ISBN: 9813272899
Category : Mathematics
Languages : en
Pages : 5396

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Book Description
The Proceedings of the ICM publishes the talks, by invited speakers, at the conference organized by the International Mathematical Union every 4 years. It covers several areas of Mathematics and it includes the Fields Medal and Nevanlinna, Gauss and Leelavati Prizes and the Chern Medal laudatios.

Computer Mathematics

Computer Mathematics PDF Author: Ziming Li
Publisher: World Scientific
ISBN: 9789812704436
Category : Computers
Languages : en
Pages : 314

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Book Description
This volume covers some of the most recent and significant advances in computer mathematics. Researchers, engineers, academics and graduate students interested in doing mathematics using computers will find it good reading as well as a valuable reference.