PreprintCC BY 4.0arXiv
Automorphism groups and Homogeneous fibrations on projective varieties with nef anticanonical divisors
Abstract
We explore the homogeneous structures of Albanese morphisms and maximal rationally chain-connected fibrations of algebraic varieties with nef anticanonical divisors. Furthermore, we show that there exists a natural group homomorphism associated with a maximal rationally chain-connected fibration, which induces the Chevalley decomposition of Aut0 up to an isogeny. This result is analogous to a similar theorem of Nishi and Matsumura for Albanese morphisms. In addition, we reprove Nishi and Matsumura's theorem using the modern language of algebraic geometry.
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BibTeX
@misc{li2026automorphism,
title = {{Automorphism groups and Homogeneous fibrations on projective varieties with nef anticanonical divisors}},
author = {Zhan Li and Jinsong Xu},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.09976},
eprint = {2609.09976},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.09976},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Automorphism groups and Homogeneous fibrations on projective varieties with nef anticanonical divisors
AU - Zhan Li
AU - Jinsong Xu
PY - 2026
DA - 2026/09/09
PB - arXiv
DO - 10.48550/arxiv.2609.09976
UR - https://arxiv.org/abs/2609.09976
AB - We explore the homogeneous structures of Albanese morphisms and maximal rationally chain-connected fibrations of algebraic varieties with nef anticanonical divisors. Furthermore, we show that there exists a natural group homomorphism associated with a maximal rationally chain-connected fibration, which induces the Chevalley decomposition of Aut^0 up to an isogeny. This result is analogous to a similar theorem of Nishi and Matsumura for Albanese morphisms. In addition, we reprove Nishi and Matsumura's theorem using the modern language of algebraic geometry.
ER -