Kodaira Kunihiko Kodaira, Volume II

Collected Works
1. Auflage 2015
ISBN: 978-1-4008-6986-2
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 508 Seiten

Reihe: Princeton Legacy Library

Kunihiko Kodaira's influence in mathematics has been fundamental and international, and his efforts have helped lay the foundations of modern complex analysis. These three volumes contain Kodaira's written contributions, published in a large number of journals and books between 1937 and 1971. The volumes cover chronologically the major periods of Kodaira's mathematical concentration and reflect his collaboration with other prominent theoreticians.

It was in the second period that Kodaira did his fundamental work on harmonic integrals. The third period is chiefly characterized by the application of harmonic integrals and of the theory of sheaves to algebraic geometry and to complex manifolds.

Originally published in 1975.

The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Autoren/Hrsg.

Kodaira, Kunihiko

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein

Inhaltsverzeichnis

Frontmatter, pg. i
CONTENTS, pg. v
31. On arithmetic genera of algebraic varieties, pg. 648
32. On cohomology groups of compact analytic varieties with coefficients in some analytic faisceaux, pg. 657
33. Groups of complex line bundles over compact Kähler varieties, pg. 661
34. Divisor class groups on algebraic varieties, pg. 665
35. On a differential-geometric method in the theory of analytic stacks, pg. 671
36. On a theorem of Lefschetz and the lemma of Enriques- Severi-Zariski, pg. 677
37. On Kahler Varieties of Restricted Type, pg. 683
38. On Kahler Varieties of Restricted Type (An Intrinsic Characterization of Algebraic Varieties), pg. 687
39. Some Results in the Transcendental Theory of Algebraic Varieties, pg. 708
40. Characteristic Linear Systems of Complete Continuous Systems, pg. 715
41. On The Complex: Projective Spaces, pg. 744
42. On The Variation of Almost-Complex Structure, pg. 760
43. On Deformations of Complex Analytic Structures, I, pg. 772
44. On The Existence of Deformations of Complex Analytic Structures, pg. 910
45. A Theorem of Completeness for Complex Analytic Fibre Spaces, pg. 920
46. Existence of Complex Structure on a Differentiable Family of Deformations of Compact Complex Manifolds, pg. 934
47. A Theorem of Completeness of Characteristic Systems of Complete Continuous Systems, pg. 956
48. On deformations of complex analytic structures, III, Stability theorems for complex structures, pg. 980
49. On deformations of some complex pseudo-group structures, pg. 1014
50. Multifoliate structures, pg. 1093