Theory of Algebraic Surfaces

Kunihiko Kodaira (Autor)

Buch | Softcover

75 Seiten

2020 | 1st ed. 2020
Springer Verlag, Singapore
978-981-15-7379-8 (ISBN)

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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.

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

Erscheinungsdatum	25.09.2020
Reihe/Serie	SpringerBriefs in Mathematics
Übersetzer	Kazuhiro Konno
Zusatzinfo	45 Illustrations, black and white; XIII, 75 p. 45 illus.
Verlagsort	Singapore
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	canonical line bundles • exact sequence • K3 surfaces • Riemann--Roch theorem • the first Chern class
ISBN-10	981-15-7379-4 / 9811573794
ISBN-13	978-981-15-7379-8 / 9789811573798
Zustand	Neuware