On the degree of Fano threefolds with canonical Gorenstein singularities

Abstract

We consider Fano threefolds $V$ with canonical Gorenstein singularities. A sharp bound $-K_V^3\le 72$ of the degree is proved.

arXiv comment38 pages, latex2e, an error on the last page is corrected

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• On the anti-canonical geometry of weak $\mathbb{Q}$-Fano threefolds, II
• On Fano threefolds with canonical Gorenstein singularities
• Deformations and extensions of Gorenstein weighted projective spaces