Hyperelliptic and trigonal Fano threefolds

V. V. Przyjalkowski, I. A. Cheltsov, K. A. Shramov

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

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 rationality questions for most of these varieties.

Original languageEnglish
Pages (from-to)365-421
Number of pages57
JournalIzvestiya: Mathematics
Issue number2
Publication statusPublished - 30 Apr 2005


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