Theory of Algebraic Surfaces. 1st ed. 2020

種類:

電子ブック

責任表示:

by Kunihiko Kodaira

出版情報:

Singapore : Springer Nature Singapore : Imprint: Springer, 2020

著者名:

• Kodaira, Kunihiko.
• SpringerLink (Online service)

シリーズ名:

SpringerBriefs in Mathematics ;

ISBN:

9789811573804 [9811573808]    

注記:

Foreword -- Preface -- Introduction (Purposes and Known Results) -- Chapter: 1 Fundamentals of Algebraic Surfaces -- Chapter 2: Pluri-canonical Systems on Algebraic Surfaces of General -- Bibliography.
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.

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