Download this article
Download this article For screen
For printing
Recent Issues

Volume 19
Issue 11, 2091–2306
Issue 10, 1881–2090
Issue 9, 1671–1880
Issue 8, 1463–1670
Issue 7, 1259–1462
Issue 6, 1049–1258
Issue 5, 835–1048
Issue 4, 617–834
Issue 3, 415–616
Issue 2, 213–413
Issue 1, 1–211

Volume 18, 12 issues

Volume 17, 12 issues

Volume 16, 10 issues

Volume 15, 10 issues

Volume 14, 10 issues

Volume 13, 10 issues

Volume 12, 10 issues

Volume 11, 10 issues

Volume 10, 10 issues

Volume 9, 10 issues

Volume 8, 10 issues

Volume 7, 10 issues

Volume 6, 8 issues

Volume 5, 8 issues

Volume 4, 8 issues

Volume 3, 8 issues

Volume 2, 8 issues

Volume 1, 4 issues

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Editors' interests
 
Subscriptions
 
ISSN 1944-7833 (online)
ISSN 1937-0652 (print)
 
Author index
To appear
 
Other MSP journals
On the boundedness of canonical models

Junpeng Jiao
Vol. 19 (2025), No. 11, 2119–2162
DOI: 10.2140/ant.2025.19.2119
Abstract

It is conjectured that the canonical models of varieties (not of general type) are bounded when the Iitaka volume is fixed. We confirm this conjecture when a general fiber of the corresponding Iitaka fibration is in a fixed bounded family of polarized log Calabi–Yau pairs.

Keywords
canonical models, Iitaka fibration, polarized log Calabi–Yau pairs, boundedness
Mathematical Subject Classification
Primary: 14E05, 14E30
Milestones
Received: 26 February 2023
Revised: 25 July 2024
Accepted: 5 December 2024
Published: 14 September 2025
Authors
Junpeng Jiao
Yau Mathematical Sciences Center
Tsinghua University
Beijing
China
© 2025 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY).

Open Access made possible by participating institutions via Subscribe to Open.