Kaito Kimura - Papers

Publications

[6] Auslander-Reiten conjecture for normal rings, Israel J. Math. (to appear).
[5] Compactness of the Alexandrov topology for maximal Cohen-Macaulay modules over isolated singularities, Comm. Algebra 53 (2025), no. 8, 3536--3549.
[4] Asymptotic stability of depths of localizations of modules, J. Math. Soc. Japan 77 (2025), no. 1, 153--166.
[3] Asymptotic behavior of homological invariants of localizations of modules, J. Algebra 658 (2024), 73--89.
[2] Openness of various loci over Noetherian rings, J. Algebra 633 (2023), 403--424.
[1] Maximal Cohen-Macaulay tensor products and vanishing of Ext modules, (with Yuya Otake and Ryo Takahashi), Bull. Lond. Math. Soc. 54 (2022), no. 6, 2456--2468.

Preprints

[6] Finiteness of homological dimensions of Ext modules, (arXiv:2508.12843).
[5] On local rings of finite syzygy representation type, (with Souvik Dey, Jian Liu, and Yuya Otake), (arXiv:2507.17097).
[4] On the depth of tensor products over Cohen-Macaulay rings, (with Justin Lyle and Andrew J. Soto Levins), (arXiv:2505.00441).
[3] Trace ideals, conductors, and ideals of finite (phantom) projective dimension, (arXiv:2501.03442).
[2] Stability of annihilators of cohomology and closed subsets defined by Jacobian ideals, (arXiv:2409.17934).
[1] On the vanishing of Ext modules over a local unique factorization domain with an isolated singularity, (with Justin Lyle, Yuya Otake, and Ryo Takahashi), (arXiv:2310.16599).

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