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

Yuri G. Prokhorov

alg-geomarXiv:alg-geom/9605003

Abstract

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

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