On the existence of good divisors on Fano varieties of coindex 3

Details On the existence of good divisors on Fano varieties of coindex 3 On the existence of good divisors on Fano varieties of coindex 3

1996-05-11

arxiv.org/abs/alg-geom/9605003v1

Proc. Steklov Inst. Math., 208:234-243, 1995

Mathematics

Algebraic Geometry

to appear in English translation of Proc. Steclov Math. Inst. 208, 11 pages, LaTeX

Scientific paper

We prove that the linear system $|-1/3K_X| on a non-singular Fano fivefold
$X$ of index 3 contains an irreducible divisor with only canonical
singularities.

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