Research
Research interest:
My primary research is in complex algebraic geometry, birational geometry and their interaction with dynamical systems.
My MathSciNet personal page: MR Author ID: 1426742
My Google Scholar personal page: Guolei Zhong - Google Scholar
My arXiv personal page: arxiv.org/a/0000-0001-7792-9529
My ORCID personal page: orcid.org/0000-0001-7792-9529
My Researchgate personal page: researchgate.net/profile/Zhong-Guolei
My entry in the Mathematical Genealogy Project
Publication:
(with Jie Liu, Wenhao Ou, Juanyong Wang, and Xiaokui Yang) Algebraic fibre spaces with strictly nef relative anti-log canonical divisors, Journal of the LMS (to appear), 2024. [arXiv]
(with Jia Jia and Yongnam Lee) Smooth projective surfaces with pseudo-effective tangent bundles, Journal of the Mathematical Society of Japan (to appear), 2023. [arXiv]
(with Feng Shao) Boundedness of finite morphisms onto Fano manifolds with large Fano index, Journal of Algebra 639 (2024), pp. 678-707. [Journal][arXiv]
Existence of the equivariant minimal model program for compact Kähler threefolds with the action of an abelian group of maximal rank, Mathematische Nachrichten 296 (2023), no. 7, pp. 3128-3135. [Journal][arXiv]
(with Jia Jia) Amplified endomorphisms of Fano fourfolds, manuscripta mathematica 172 (2023), pp. 567-598. [Journal][arXiv]
(with Sheng Meng) Rigidity of rationally connected smooth projective varieties from dynamical viewpoints, Mathematical Research Letters 30 (2023), no. 2, pp. 589-610. [Journal][arXiv]
(with Sheng Meng and De-Qi Zhang) Non-isomorphic endomorphisms of Fano threefolds, Mathematische Annalen 383 (2022), no. 3-4, pp. 1567-1596. [Journal][arXiv]
(with Yohsuke Matsuzawa, Sheng Meng, Takahiro Shibata, and De-Qi Zhang) Invariant subvarieties with small dynamical degree, International Mathematics Research Notices IMRN 2022, no. 15, pp. 11448-11483. [Journal][arXiv]
Compact Kähler threefolds with the action of an abelian group of maximal rank, Proceedings of the AMS 150 (2022), no. 1, pp. 55-68. [Journal][arXiv]
Int-amplified endomorphisms of compact Kähler spaces, Asian Journal of Mathematics 25 (2021), no. 3, pp. 369-392. [Journal][arXiv][Addendum]
Totally invariant divisors of int-amplified endomorphisms of normal projective varieties, Journal of Geometric Analysis 31 (2021), no. 3, pp. 2568-2593. [Journal][arXiv]
Preprints:
(with Feng Shao) Pseudo-effectiveness of tangent bundles of smooth weighted hypersurfaces.
(with Tien-Cuong Dinh) Periodic points for meromorphic self-maps of Fujiki varieties, submitted. [arXiv]
(with Fei Hu) Canonical heights for abelian group actions of maximal dynamical rank, submitted. [arXiv]
(with Feng Shao) Bigness of tangent bundles and dynamical rigidity of Fano manifolds of Picard number 1 (with an appendix by Jie Liu), submitted. [arXiv]
(with Masataka Iwai and Shin-ichi Matsumura) Positivity of tangent sheaves of projective varieties -- the structure of MRC fibrations, submitted. [arXiv]
(with Juanyong Wang) Strictly nef divisors on singular threefolds, submitted. [arXiv]
Other texts & notes: