TY - JOUR
T1 - Log Calabi-Yau Structure of Projective Threefolds Admitting Polarized Endomorphisms
AU - Meng, Sheng
N1 - Publisher Copyright:
© 2022 The Author(s). Published by Oxford University Press. All rights reserved.
PY - 2023/12/1
Y1 - 2023/12/1
N2 - Let X be a normal projective variety admitting a polarized endomorphism f, that is, f *H ∼ qH for some ample divisor H and integer q > 1. It was conjectured by Broustet and Gongyo that X is of Calabi.Yau type, that is, (X, Δ) is lc for some effective Q-divisor such that KX + Δ ∼ Q 0. In this paper, we establish a general guideline based on the equivariant minimal model program and the canonical bundle formula. In this way, we prove the conjecture when X is a smooth projective threefold.
AB - Let X be a normal projective variety admitting a polarized endomorphism f, that is, f *H ∼ qH for some ample divisor H and integer q > 1. It was conjectured by Broustet and Gongyo that X is of Calabi.Yau type, that is, (X, Δ) is lc for some effective Q-divisor such that KX + Δ ∼ Q 0. In this paper, we establish a general guideline based on the equivariant minimal model program and the canonical bundle formula. In this way, we prove the conjecture when X is a smooth projective threefold.
UR - https://www.scopus.com/pages/publications/85173092700
U2 - 10.1093/imrn/rnac308
DO - 10.1093/imrn/rnac308
M3 - 文章
AN - SCOPUS:85173092700
SN - 1073-7928
VL - 2023
SP - 21272
EP - 21289
JO - International Mathematics Research Notices
JF - International Mathematics Research Notices
IS - 24
ER -