Constructing Q-Fano 3-folds à la Prokhorov & Reid

Tom Ducat*

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

3 Citations (Scopus)
190 Downloads (Pure)


We generalise a construction by Prokhorov & Reid of two families of Q -Fano 3-folds of index 2 to obtain five more families of Q -Fano 3-folds; four of index 2 and one of index 3. Two of the families constructed have the same Hilbert series and we study these cases in more detail.

Original languageEnglish
Pages (from-to)420-434
Number of pages15
JournalBulletin of the London Mathematical Society
Issue number3
Early online date6 Apr 2018
Publication statusPublished - 4 Jun 2018


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