PreprintarXiv licencearXiv
On irregular threefolds of Kodaira dimension two
Abstract
Let X be an irregular threefold of Kodaira dimension two. We show that the Iitaka volume Ivol(X) of X is at least 1/100 and lvert mKXrvert defines the Iitaka fibration for m≥ 32. Both 1/100 and $32$ are sharp.
Related
- Uniformization of compact Kähler Threefolds of Zero Kodaira Dimension
- Nondeformability of Moishezon manifolds with nonnegative Kodaira dimension
- On the singularities and the Kodaira dimension of unitary Shimura varieties
- The Kodaira dimension and minimal models of 𝒜6
- Canonical metric on a mildly singular Kähler varieties with an intermediate log Kodaira dimension
BibTeX
@misc{liu2026irregular,
title = {{On irregular threefolds of Kodaira dimension two}},
author = {Ziqi Liu and Pengjin Wang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.34955},
eprint = {2610.34955},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.34955},
}
RIS
TY - UNPB
TI - On irregular threefolds of Kodaira dimension two
AU - Ziqi Liu
AU - Pengjin Wang
PY - 2026
DA - 2026/10/26
PB - arXiv
DO - 10.48550/arxiv.2610.34955
UR - https://arxiv.org/abs/2610.34955
AB - Let X be an irregular threefold of Kodaira dimension two. We show that the Iitaka volume Ivol(X) of X is at least 1/100 and lvert mK_Xrvert defines the Iitaka fibration for m≥ 32. Both 1/100 and $32$ are sharp.
ER -