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JOURNALS // Matematicheskii Sbornik // Archive
Mat. Sb., 2005 Volume 196, Number 1, Pages 81–122 (Mi sm1262)
This article is cited in 48 papers

On the degree of Fano threefolds with canonical Gorenstein singularities

Yu. G. Prokhorov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: Fano threefolds $X$ with canonical Gorenstein singularities are considered. The sharp bound $-K_X^3\leqslant 72$ for their degree is proved.

UDC: 512.7

MSC: 14J30, 14J45

Received: 02.12.2003 and 01.06.2004

DOI: 10.4213/sm1262


 English version: Sbornik: Mathematics, 2005, 196:1, 77–114

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© Steklov Math. Inst. of RAS, 2026