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Algebraic Geometry In East Asia, Proceedings Of The Symposium

Algebraic Geometry In East Asia, Proceedings Of The Symposium
Author: Kazuhiro Konno
Publisher: World Scientific
Total Pages: 273
Release: 2003-01-17
Genre: Mathematics
ISBN: 9814486736

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This book is the proceedings of the conference “Algebraic Geometry in East Asia” which was held in International Institute for Advanced Studies (IIAS) during August 3 to August 10, 2001.As the breadth of the topics covered in this proceedings demonstrate, the conference was indeed successful in assembling a wide spectrum of East Asian mathematicians, and gave them a welcome chance to discuss current state of algebraic geometry.


Proceedings of the Symposium on Algebraic Geometry in East Asia

Proceedings of the Symposium on Algebraic Geometry in East Asia
Author: Akira Ohbuchi
Publisher: World Scientific
Total Pages: 280
Release: 2003-01-17
Genre: Mathematics
ISBN: 9789812705105

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This book is the proceedings of the conference OC Algebraic Geometry in East AsiaOCO which was held in International Institute for Advanced Studies (IIAS) during August 3 to August 10, 2001.As the breadth of the topics covered in this proceedings demonstrate, the conference was indeed successful in assembling a wide spectrum of East Asian mathematicians, and gave them a welcome chance to discuss current state of algebraic geometry."


Algebraic Geometry in East Asia

Algebraic Geometry in East Asia
Author: Kazuhiro Konno
Publisher:
Total Pages: 366
Release: 2008
Genre: Mathematics
ISBN:

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This volume contains two survey articles and eight research articles contributed by the invited lecturers at the conference Algebraic Geometry in East Asia. II, which was held at the Conference Hall (Hanoi, Vietnam) from October 10-14, 2005. Topics touched upon in this volume include Zariski pairs, rational homogeneous manifolds, Kummer surfaces, singularity theory, Cremona groups, algebraic curves, dual varieties, Castelnuovo-Weil lattices, etc. The reader can not only find the current status of a variety of research topics but also enjoy the art of the subjects presented by leading algebraic geometers.


Arakelov Geometry

Arakelov Geometry
Author: Atsushi Moriwaki
Publisher: American Mathematical Soc.
Total Pages: 298
Release: 2014-11-05
Genre: Mathematics
ISBN: 1470410745

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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. After explaining classical results about the geometry of numbers, the author starts with Arakelov geometry for arithmetic curves, and continues with Arakelov geometry of arithmetic surfaces and higher-dimensional varieties. The book includes such fundamental results as arithmetic Hilbert-Samuel formula, arithmetic Nakai-Moishezon criterion, arithmetic Bogomolov inequality, the existence of small sections, the continuity of arithmetic volume function, the Lang-Bogomolov conjecture and so on. In addition, the author presents, with full details, the proof of Faltings' Riemann-Roch theorem. Prerequisites for reading this book are the basic results of algebraic geometry and the language of schemes.


Algebraic Geometry

Algebraic Geometry
Author: Spencer Bloch
Publisher: Springer
Total Pages: 313
Release: 2006-11-14
Genre: Mathematics
ISBN: 3540383883

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ICM-90 Satellite Conference Proceedings

ICM-90 Satellite Conference Proceedings
Author: Akira Fujiki
Publisher: Springer Science & Business Media
Total Pages: 265
Release: 2012-12-06
Genre: Mathematics
ISBN: 4431681728

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The International Conference "Algebraic Geometry and Analytic Geometry, Tokyo 1990" was held at Tokyo Metropolitan University and the Tokyo Training Center of Daihyaku Mutual Life Insurance Co., from August 13 through August 17, 1990, under the co-sponsorship of the Mathematical Society of Japan. It was one of the satellite conferences of ICM90, Kyoto, and approximately 300 participants, including more than 100 from overseas, attended the conference. The academic program was divided into two parts, the morning sessions and the afternoon sessions. The morning sessions were held at Tokyo Metropolitan University, and two one-hour plenary lectures were delivered every day. The afternoon sessions at the Tokyo Training Center, intended for a more specialized audience, consisted of four separate subsessions: Arithemetic Geometry, Algebraic Geometry, Analytic Geometry I and Analytic Geometry II. This book contains papers which grew out of the talks at the conference. The committee in charge of the organization and program consisted of A. Fujiki, K. Kato, T. Katsura, Y. Kawamata, Y. Miyaoka, S. Mori, K. Saito, N. Sasakura, T. Suwa and K. Watanabe. We would like to take this opportunity to thank the many mathematicians and students who cooperated to make the conference possible, especially Professors T. Fukui, S. Ishii, Y. Kitaoka, M. Miyanishi, Y. Namikawa, T. Oda, F. Sakai and T. Shioda for their valuable advice and assistance in organizing this conference. Financial support was mainly provided by personal contributions from Professors M.


Algebraic Geometry

Algebraic Geometry
Author: M. Raynaud
Publisher: Springer
Total Pages: 539
Release: 2006-12-08
Genre: Mathematics
ISBN: 3540386769

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