On Q-Fano threefolds of Fano index 2

Details On Q-Fano threefolds of Fano index 2 On Q-Fano threefolds of Fano index 2

2012-03-05

arxiv.org/abs/1203.0852v2

Mathematics

Algebraic Geometry

22 pages, latex

Scientific paper

We show that, for a Q-Fano threefold X of Fano index 2, the inequality dim
|-1/2K_X| <= 4 holds with a single well understood family of varieties having
dim |-1/2K_X| = 4.

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