Zobrazeno 1 - 10
of 98
pro vyhledávání: '"Kurano, Kazuhiko"'
Autor:
Inagawa, Taro, Kurano, Kazuhiko
Consider the blow-up Y of a weighted projective plane at a point in the open orbit over a field of characteristic 0. We assume that there exists a curve C on Y such that C^2<0 and C.E=1, where E is the exceptional curve. In this paper we give a (very
Externí odkaz:
http://arxiv.org/abs/2204.01889
Autor:
Kurano, Kazuhiko
Finite generation of the symbolic Rees ring of a space monomial prime ideal of a 3-dimensional weighted polynomial ring is a very interesting problem. Negative curves play important roles in finite generation of these rings. We are interested in the
Externí odkaz:
http://arxiv.org/abs/2101.02448
Autor:
Inagawa, Taro, Kurano, Kazuhiko
Publikováno v:
In Journal of Algebra 1 April 2023 619:153-198
For a Mori dream space X, the Cox ring Cox(X) is a Noetherian Z^n-graded normal domain for some n > 0. Let C(Cox(X)) be the cone (in R^n) which is spanned by the vectors a \in Z^n such that Cox(X)_a \neq 0. Then C(Cox(X)) is decomposed into a union o
Externí odkaz:
http://arxiv.org/abs/1802.09693
Autor:
Kurano, Kazuhiko, Nishida, Koji
In this paper, we shall study finite generation of symbolic Rees rings of the defining ideal ${\frak p}$ of the space monomial curve $(t^a, t^b, t^c)$ for pairwise coprime integers $a$, $b$, $c$. Suppose that the base field is of characteristic $0$ a
Externí odkaz:
http://arxiv.org/abs/1705.09865
Autor:
Kurano, Kazuhiko, Shimomoto, Kazuma
Publikováno v:
Kyoto J. Math. 61, no. 3 (2021), 707-722
In this paper, we give a detailed proof to a result of Gabber (unpublished) on the lifting problem of quasi-excellent rings, extending the previous work on Nishimura-Nishimura. As a corollary, we establish that an ideal-adic completion of an excellen
Externí odkaz:
http://arxiv.org/abs/1609.09246
Autor:
Kurano, Kazuhiko, Shimomoto, Kazuma
The aim of this article is to give a new proof of Cohen-Gabber theorem in the equal characteristic $p>0$ case.
Comment: 13 pages, to appear in Tohoku Math. J
Comment: 13 pages, to appear in Tohoku Math. J
Externí odkaz:
http://arxiv.org/abs/1510.03573
Autor:
Dao, Hailong, Kurano, Kazuhiko
Let $R$ be a Cohen-Macaulay local domain. In this paper we study the cone of Cohen-Macaulay modules inside the Grothendieck group of finitely generated $R$-modules modulo numerical equivalences, introduced in \cite{CK}. We prove a result about the bo
Externí odkaz:
http://arxiv.org/abs/1412.2182
Autor:
Kurano, Kazuhiko, Ohta, Kosuke
Considering the Grothendieck group modulo numerical equivalence, we obtain the finitely generated lattice $\overline{G_0(R)}$ for a Noetherian local ring $R$. Let $C_{CM}(R)$ be the cone in $\overline{G_0(R)}_{\Bbb R}$ spanned by cycles of maximal Co
Externí odkaz:
http://arxiv.org/abs/1407.4159
Autor:
Chan, C. -Y. Jean, Kurano, Kazuhiko
The aim of this manuscript is to discuss the Hilbert-Kunz functions over an excellent local ring regular in codimension one. We study the shape of the Hilbert-Kunz functions of modules and discuss the properties of the coefficient of the second highe
Externí odkaz:
http://arxiv.org/abs/1301.5278