On Fano indicies of Q-Fano 3-folds

2002/10/20 by Kaori Suzuki, Suzuki, Kaori · 1 citation
Mathematics · #14J45 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14J45

paper · pdf · doi:10.48550/arxiv.math/0210309

17 pages, paper accepted

arxiv created 2004/01/18 · arxiv updated 2009/11/30

Abstract

This paper considers Q-Fano 3-folds X with ρ=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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