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

Abstract

We prove that the linear system $|-1/3K_X|onanon-singularFanofivefold$X$ of index 3 contains an irreducible divisor with only canonical singularities.

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

Cited by in corpus (3)

• Existence of good divisors on Mukai varieties
• Existence of good divisors on Mukai manifolds
• Fano threefolds