Kunihiko Kodaira, Volume II : : Collected Works / / Kunihiko Kodaira.

• Superior document: Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1931-1979
• VerfasserIn: Kodaira, Kunihiko,
• MitwirkendeR: Hirzebruch, F.,; Kodaira, K.,; Kodaira, Kunihiko,; Nirenberg, L.,; Spencer, D. C.,
• Place / Publishing House: Princeton, NJ : : Princeton University Press, , [2015]; ©1975
• Year of Publication: 2015
• Language: English
• Series: Princeton Legacy Library ; 1537
• Physical Description: 1 online resource (508 p.)

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.

Table of Contents

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