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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. Akad. Nauk SSSR Ser. Mat., 1974 Volume 38, Issue 1, Pages 11–21 (Mi im1889)

This article is cited in 10 papers

Kähler manifolds with trivial canonical class

F. A. Bogomolov


Abstract: In this paper a duality law is established for holomorphic forms on manifolds with zero canonical class. This enables one to describe effectively the holomorphic and meromorphic maps between them, and also to prove Calabi's conjecture [2] on the Albanese map.

UDC: 513.6

MSC: Primary 32L05, 53C55; Secondary 14F15

Received: 05.02.1973


 English version:
Mathematics of the USSR-Izvestiya, 1974, 8:1, 9–20

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