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

Izv. Akad. Nauk SSSR Ser. Mat., 1981 Volume 45, Issue 6, Pages 1288–1331 (Mi im1715)

This article is cited in 3 papers

Boundedness of the degree of Fano threefolds

S. M. L'vovskii


Abstract: The following theorem, announced earlier by V. A. Iskovskih with a sketch of the proof, is established: if $V$ is a Fano 3-fold (i.e. $V$ is projective and the anticanonical class $-K_V$ is ample), then $(-K_V)^3\leqslant64$.
Bibliography: 12 titles.

UDC: 512.776

MSC: Primary 14J30; Secondary 14M99

Received: 14.04.1981


 English version:
Mathematics of the USSR-Izvestiya, 1982, 19:3, 521–558

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© Steklov Math. Inst. of RAS, 2026