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Nevanlinna Theory Vital Source e-bog
Kunihiko Kodaira
(2017)
Springer Nature
612,00 kr.
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Nevanlinna Theory
Kunihiko Kodaira og Takeo Ohsawa
(2018)
Sprog: Engelsk
Springer
864,00 kr.
Print on demand. Leveringstid vil være ca 2-3 uger.
Detaljer om varen
- Vital Source searchable e-book (Reflowable pages)
- Udgiver: Springer Nature (December 2017)
- ISBN: 9789811067877
This book deals with the classical theory of Nevanlinna on the value distribution of meromorphic functions of one complex variable, based on minimum prerequisites for complex manifolds. The theory was extended to several variables by S. Kobayashi, T. Ochiai, J. Carleson, and P. Griffiths in the early 1970s. K. Kodaira took up this subject in his course at The University of Tokyo in 1973 and gave an introductory account of this development in the context of his final paper, contained in this book. The first three chapters are devoted to holomorphic mappings from C to complex manifolds. In the fourth chapter, holomorphic mappings between higher dimensional manifolds are covered. The book is a valuable treatise on the Nevanlinna theory, of special interests to those who want to understand Kodaira's unique approach to basic questions on complex manifolds.
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Print: 2 sider kan printes ad gangen
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Bookshelf online: 5 år fra købsdato.
Bookshelf appen: ubegrænset dage fra købsdato.
Udgiveren oplyser at følgende begrænsninger er gældende for dette produkt:
Print: 2 sider kan printes ad gangen
Copy: højest 2 sider i alt kan kopieres (copy/paste)
Detaljer om varen
- Paperback
- Udgiver: Springer (Januar 2018)
- Forfattere: Kunihiko Kodaira og Takeo Ohsawa
- ISBN: 9789811067860
This book deals with the classical theory of Nevanlinna on the value distribution of meromorphic functions of one complex variable, based on minimum prerequisites for complex manifolds. The theory was extended to several variables by S. Kobayashi, T. Ochiai, J. Carleson, and P. Griffiths in the early 1970s. K. Kodaira took up this subject in his course at The University of Tokyo in 1973 and gave an introductory account of this development in the context of his final paper, contained in this book. The first three chapters are devoted to holomorphic mappings from C to complex manifolds. In the fourth chapter, holomorphic mappings between higher dimensional manifolds are covered. The book is a valuable treatise on the Nevanlinna theory, of special interests to those who want to understand Kodaira's unique approach to basic questions on complex manifolds.
Preface
1. Nevanlinna Theory of One Variable (1)
1.1 metrics of compact Rimann surfaces
1.2 integral formula
1.3 holomorphic maps over compact Riemann surfaces whose genus are greater than 2
1.4 holomorphic maps over Riemann sphreres
1.5 Defect relation
2. Schwarz--Kobayashi's Lemma
2.1 Schwarz--Kobayashi's Lemma
2.2 holomorphic maps over algebraic varieties (general type)
2.3 hyperbolic measures
3. Nevanlinna Theory of One Variable (2)
3.1 holomorphic maps over Riemann shpres
3.2 the first main theorem
3.3 the second main theorem
4. Nevanlinna Theory of Several Variables
4.1 Biebelbach's example
4.2 the first main theorem
4.3 the second main theorem
4.4 defect relation
4.5 applications References
1. Nevanlinna Theory of One Variable (1)
1.1 metrics of compact Rimann surfaces
1.2 integral formula
1.3 holomorphic maps over compact Riemann surfaces whose genus are greater than 2
1.4 holomorphic maps over Riemann sphreres
1.5 Defect relation
2. Schwarz--Kobayashi's Lemma
2.1 Schwarz--Kobayashi's Lemma
2.2 holomorphic maps over algebraic varieties (general type)
2.3 hyperbolic measures
3. Nevanlinna Theory of One Variable (2)
3.1 holomorphic maps over Riemann shpres
3.2 the first main theorem
3.3 the second main theorem
4. Nevanlinna Theory of Several Variables
4.1 Biebelbach's example
4.2 the first main theorem
4.3 the second main theorem
4.4 defect relation
4.5 applications References
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