Theory of Algebraic Surfaces
著者
書誌事項
Theory of Algebraic Surfaces
(SpringerBriefs in mathematics)
Springer, c2020
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注記
Includes bibliography
foreword by Kazuhiro Konno
In the academic year 1967, Kunihiko Kodaira gave a course of lectures at the University of Tokyo on the theory of complex algebraic surfaces. The lecture notes were published in 1968 as Volume 20 in the series of "Seminary Notes" by the University of Tokyo. That was the copy of the handwritten manuscript in Japanese by Shigeho Yamashima, based on his beautiful notes reflecting faithfully the atmosphere of Kodaira's lectures. the present book is an English translation of that volume with slight modifications, correcting typos, etc. in the Japanese version. -- foreword
内容説明・目次
内容説明
This is an English translation of the book in Japanese, published as the volume 20 in the series of Seminar Notes from The University of Tokyo that grew out of a course of lectures by Professor Kunihiko Kodaira in 1967. It serves as an almost self-contained introduction to the theory of complex algebraic surfaces, including concise proofs of Gorenstein's theorem for curves on a surface and Noether's formula for the arithmetic genus. It also discusses the behavior of the pluri-canonical maps of surfaces of general type as a practical application of the general theory. The book is aimed at graduate students and also at anyone interested in algebraic surfaces, and readers are expected to have only a basic knowledge of complex manifolds as a prerequisite.
目次
Foreword.- Preface.- Introduction (Purposes and Known Results).- Chapter: 1 Fundamentals of Algebraic Surfaces.- Chapter 2: Pluri-canonical Systems on Algebraic Surfaces of General.- Bibliography.
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