Subadditivity of Kodaira dimension does not hold in positive characteristic
File(s)Iitaka-6.27.21.pdf (383.65 KB)
Accepted version
Author(s)
Cascini, Paolo
Ejiri, Sho
Kollar, Janos
Zhang, Lei
Type
Journal Article
Abstract
Over any algebraically closed field of positive characteristic, we con-
struct examples of fibrations violating subadditivity of Kodaira dimension.
struct examples of fibrations violating subadditivity of Kodaira dimension.
Date Issued
2021-01-01
Date Acceptance
2020-12-31
Citation
Commentarii Mathematici Helvetici, 2021, 96 (3), pp.465-481
ISSN
0010-2571
Publisher
EMS Press
Start Page
465
End Page
481
Journal / Book Title
Commentarii Mathematici Helvetici
Volume
96
Issue
3
Copyright Statement
© 2022 EMS Publishing House. All rights reserved.
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000732444000002&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Physical Sciences
Mathematics
Iitaka's conjecture
Kodaira dimension
positive characteristic
fibration
ALGEBRAIC FIBER SPACES
NONTRIVIAL ALBANESE MAPS
MINIMAL MODELS
3-FOLDS
SINGULARITIES
THREEFOLDS
CONJECTURE
ADDITIVITY
RESOLUTION
VARIETIES
Publication Status
Published
Date Publish Online
2021-11-22