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

Yuri G. Prokhorov

paper

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

arXiv:math/0312011

Abstract

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: $- K_{X}^{3} \leq 72$ .

arXiv commentThis paper has been withdrawn by the author because the result is completely contained in more general paper math.AG/0405347