Hyperelliptic and trigonal Fano threefolds
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We classify Fano 3-folds with canonical Gorenstein singularities whose anticanonical linear system has no base points but does not give an embedding, and we classify anticanonically embedded Fano 3-folds with canonical Gorenstein singularities which are not intersections of quadrics. We also study the rationality questions for most of these varieties.
57 pages. Final version; more detailed version is the previous one
57 pages. Final version; more detailed version is the previous one