On the degree of Fano threefolds with canonical Gorenstein singularities, I

Details On the degree of Fano threefolds with canonical Gorenstein singularities, I On the degree of Fano threefolds with canonical Gorenstein singularities, I

2003-11-29

arxiv.org/abs/math/0312011v2

Russian Acad. Sci. Sb. Math., 2005, 196, 81-122

Mathematics

Algebraic Geometry

This paper has been withdrawn by the author because the result is completely contained in more general paper math.AG/0405347

Scientific paper

We consider Fano threefolds $X$ with canonical Gorenstein singularities.
Under additional assumption that $X$ has at least one non-cDV point we prove a
sharp bound of the degree: $-K_X^3\le 72$.

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