Zobrazeno 1 - 10
of 40
pro vyhledávání: '"Kazuma Shimomoto"'
Autor:
Kazuhiko Kurano1 kurano@meiji.ac.jp, Kazuma Shimomoto2 shimomotokazuma@gmail.com
Publikováno v:
Kyoto Journal of Mathematics. Sep2021, Vol. 61 Issue 3, p707-722. 16p.
Autor:
Kazuma Shimomoto, Kei Nakazato
Publikováno v:
Journal of Algebra. 589:114-158
In this paper, we examine the behavior of ideal-adic separatedness and completeness under certain ring extensions using trace map. Then we prove that adic completeness of a base ring is hereditary to its ring extension under reasonable conditions. We
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::42b3faba3c7aa89c6b2b2c3d20997f66
https://doi.org/10.1016/j.jalgebra.2021.09.018
https://doi.org/10.1016/j.jalgebra.2021.09.018
Publikováno v:
Journal of Algebra. 562:368-389
In the present article, we investigate the following deformation problem. Let $(R,\mathfrak m)$ be a local (graded local) Noetherian ring with a (homogeneous) regular element $y \in \mathfrak m$ and assume that $R/yR$ is quasi-Gorenstein. Then is $R$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ad18e9596d578136aeb16dbef36d8bea
https://doi.org/10.1016/j.jalgebra.2020.06.032
https://doi.org/10.1016/j.jalgebra.2020.06.032
The second vanishing theorem has a long history in the theory of local cohomology modules, which connects the vanishing of a complete regular local ring with a topological property of the punctured spectrum of the ring under some conditions. However,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bd648ce793c1b03b832e8f8ce52889ed
Autor:
Shinnosuke Ishiro, Kazuma Shimomoto
The almost purity theorem is central to the geometry of perfectoid spaces and has numerous applications in algebra and geometry. This result is known to have several different proofs in the case that the base ring is a perfectoid valuation ring. We g
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eb8db4b9ec101e477fd51c1e476c2f5e
http://arxiv.org/abs/2012.13984
http://arxiv.org/abs/2012.13984
Autor:
Kazuma Shimomoto
Publikováno v:
Mathematische Annalen. 372:1167-1188
The main result of this article is to prove that any Noetherian local domain of mixed characteristic maps to an integral perfectoid big Cohen–Macaulay algebra. The proof of this result is based on the construction of almost Cohen–Macaulay algebra
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::89bb79288c9e2d858e2081c24ac7dc12
https://doi.org/10.1007/s00208-018-1704-x
https://doi.org/10.1007/s00208-018-1704-x
Autor:
Kazuma Shimomoto, Pham Hung Quy
Publikováno v:
Advances in Mathematics. 313:127-166
The main aim of this article is to study the relation between F-injective singularity and the Frobenius closure of parameter ideals in Noetherian rings of positive characteristic. The paper consists of the following themes, including many other topic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7d9b3b09e60397df0dedc59c7df9d070
https://doi.org/10.1016/j.aim.2017.04.002
https://doi.org/10.1016/j.aim.2017.04.002
Autor:
Kazuma Shimomoto
Publikováno v:
Communications in Algebra. 45:1057-1075
In this article, we discuss the semicontinuity problem of certain properties on fibers for a morphism of schemes. One aspect of this problem is local. Namely, we consider properties of schemes at the level of local rings, in which the main results ar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a87175e2d3b1eddba769758886d8f352
https://doi.org/10.1080/00927872.2016.1175575
https://doi.org/10.1080/00927872.2016.1175575
Autor:
Kazuma Shimomoto, Jun Horiuchi
The aim of this article is to prove that, under certain conditions, an affine flat normal scheme that is of finite type over a local Dedekind scheme in mixed characteristic admits infinitely many normal effective Cartier divisors. For the proof of th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c52d64b9012a8c47f9a5eedfd0fb1aa5
http://arxiv.org/abs/1708.05877
http://arxiv.org/abs/1708.05877
Autor:
Kazuma Shimomoto, Tadashi Ochiai
The aim of this article is to establish the specialization method on characteristic ideals for finitely generated torsion modules over a complete local normal domain R that is module-finite over $${\mathcal {O}}[[x_1,\ldots ,x_d]]$$ , where $${\mathc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ef10264ef3da70eca31aca488c7271fa
http://arxiv.org/abs/1706.01571
http://arxiv.org/abs/1706.01571