Nef anti-canonical divisors and rationally connected fibrations-Reference-Cited by-同舟云学术

Nef anti-canonical divisors and rationally connected fibrations

Published:2019-06-28 Issue:7 Volume:155 Page:1444-1456
ISSN:0010-437X
Container-title:Compositio Mathematica
language:en
Short-container-title:Compositio Math.

Author:

Ejiri Sho,Gongyo Yoshinori

Abstract

We study the Iitaka–Kodaira dimension of nef relative anti-canonical divisors. As a consequence, we prove that given a complex projective variety with klt singularities, if the anti-canonical divisor is nef, then the dimension of a general fibre of the maximal rationally connected fibration is at least the Iitaka–Kodaira dimension of the anti-canonical divisor.

Publisher

Wiley

Subject

Algebra and Number Theory

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