Iitaka Conjecture by Osamu Fujino

Author:Osamu Fujino
Language: eng
Format: epub
ISBN: 9789811533471
Publisher: Springer Singapore

Remark 3.3.9

We note that the statement of Lemma 3.3.8 is slightly different from [Vi3, Lemma 5.4].

Proof of Lemma 3.3.8 By the natural map

we may assume that . By taking blow-ups, if necessary, we may assume that there exist an invertible sheaf on V and a simple normal crossing divisor on V, where is smooth for every j and for , with

such that if is not f-exceptional. We take a nonempty Zariski open set of W such that is locally free on and f is smooth over . By shrinking , we may assume that is dominant onto if . We put

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.