Q-Fano threefolds of large Fano index, I

Abstract

We study Q-Fano threefolds of large Fano index. In particular, we prove that the maximum of Fano index is attained for the weighted projective space P(3,4,5,7).

arXiv comment29 pages, latex, a few typos corrected

References in corpus (2)

• On Fano indicies of Q-Fano 3-folds
• Multiple fibers of del Pezzo fibrations

Cited by in corpus (3)

• Fano 3-folds in codimension 4, Tom and Jerry, Part I
• On the anti-canonical geometry of weak $\mathbb{Q}$-Fano threefolds, II
• On Gorenstein Fano Threefolds with an Action of a Two-Dimensional Torus