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

Published 6 Oct 2016 in math.AG | (1610.01773v1)

Abstract: 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.

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