On Fano indicies of Q-Fano 3-folds

Details On Fano indicies of Q-Fano 3-folds On Fano indicies of Q-Fano 3-folds

2002-10-20

arxiv.org/abs/math/0210309v2

Mathematics

Algebraic Geometry

17 pages, paper accepted

Scientific paper

This paper considers Q-Fano 3-folds X with \rho=1. The aim is to determine
the maximal Fano index f of X. We prove that f<= 19, and that in case of
equality, the Hilbert series of X equals that of weighted projective space
PP(3,4,5,7). From the previous version, we restrict the list of all
possibilities of X to the case f>8. It will appear in a forthcoming paper.

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