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

zbMATH Open0873.14037arXivalg-geom/9605003MaRDI QIDQ4341991

Yuri Prokhorov

Publication date: 14 July 1997

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

Full work available at URL: https://arxiv.org/abs/alg-geom/9605003

zbMATH Keywords

Fano varietyindexminimal model programcanonical divisorexistence of smooth divisors in a linear system

Mathematics Subject Classification ID

Fano varieties (14J45) Divisors, linear systems, invertible sheaves (14C20)

Related Items (1)

On the existence of good divisors on Fano manifolds of coindex 3. II

This page was built for publication: On the existence of good divisors on Fano varieties of coindex 3

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q4341991)