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Regular version of the site

Book chapter

On Q-Fano 3-folds of Fano index 2

Prokhorov Y., Reid M.

Let X be a Q-Fano 3-fold of rank 1 with qQ(X)=qF(X)=2 and KX not Cartier. Let A be a Weil divisor on X such that −KX = 2A. Then dim |A| ≤ 4. Moreover, if dim |A| = 4, then X belongs to the single irreducible family.

In book

Edited by: J. Kollar, O. Fujino, S. Mukai et al. Vol. 70: Minimal Models and Extremal Rays. Kyoto: Mathematical Society of Japan, 2016.