Faculty Database - Kurano Kazuhiko

■ Books and Papers

1.	2019	Article	Infinitely generated symbolic Rees rings of space monomial curves having negative curves Michigan Math. J. 68,pp.405-445 (Collaboration)
2.	2019	Article	Demazure construction for Z^n-graded Krull domains Acta Math. Vietnam 44,pp.173-205 (Collaboration)
3.	2018	Article	An elementary proof of Cohen-Gabber theorem in the equal characteristic p > 0 case 70,pp.377-389 (Collaboration)
4.	2016	Article	Boundary and shape of Cohen-Macaulay cone Math. Ann. 2016,pp.713-736 (Collaboration)
5.	2016	Article	Hilbert-Kunz functions over rings regular in codimension one Comm. in Algebra 44,pp.141-163 (Collaboration)
6.	2016	Article	The cone spanned by maximal Cohen-Macaulay modules and an application Trans. Amer. Math. Soc. 368,pp.939-964 (Collaboration)
7.	2015	Article	On the limit of Frobenius in the Grothendieck group 40,pp.161-172 (Collaboration)
8.	2014	Article	Hochster's theta pairing and numerical equivalence Journal of K-theory 14,pp.495-525 (Collaboration)
9.	2013	Article	The divisor class groups and the graded canonical modules of multi-section rings Nagoya Math J. 212,pp.139-157 (Single)
10.	2012	Article	Gorenstein isolated quotient singularities of odd prime dimension are cyclic Comm. in Algebra 40,pp.3010-3020 (Collaboration)
11.	2011	Article	Asymptotic regularity of powers of ideals of points in a weighted projective plane Kyoto J. Math. 51,pp.24-45 (Collaboration)
12.	2011	Article	The canonical module of a Cox ring Kyoto J. Math. 51,pp.855-874 (Collaboration)
13.	2009	Article	Multigraded rings, diagonal subalgebras, and rational singularities J. Algebra 322,pp.3248-3267 (Collaboration)
14.	2009	Article	On finite generation of symbolic Rees rings of space monomial curves and existence of negative curves J. Algebra 322,pp.3268-3290 (Collaboration)
15.	2008	Article	A local ring such that the map between Grothendieck groups with rational coefficient induced by completion is not injective, Michigan Mathematical Journal 57,pp.485-498 (Collaboration)
16.	2005	Article	Rees algebras of the second syzygy module of the residue field of a regular local ring Contemporary Math. 390,pp.97-108 (Collaboration)
17.	2005	Article	The singular Riemann-Roch theorem and Hilbert-Kunz functions J. Algebra 304,pp.487-499 (Single)
18.	2004	Article	Numerical equivalence defined on Chow groups of Noetherian local rings Invent. Math. 157,pp.575-619 (Single)
19.	2004	Article	The total coordinate ring of a normal projective variety J. Algebra 276,pp.625-637 (Collaboration)
20.	2003	Article	On Chow groups of G-graded rings Comm. Algebra 31,pp.2141-2160 (Collaboration)
21.	2002	Article	On maps of Grothendieck groups induced by completion J. Algebra 254,pp.21-43 (Collaboration)
22.	2002	Article	Todd classes of affine cones of Grassmannians Int. Math. Res. Notices 35,pp.1841-1855 (Collaboration)
23.	2001	Article	On Roberts rings J. Math. Soc. Japan 53,pp.333-355 (Single)
24.	2001	Article	Roberts rings and Dutta multiplicities (survey) Lect. Notes in Pure and Applied Math. 217,pp.273-287 (Single)
25.	2001	Article	Test modules to calculate Dutta Multiplicities J. Algebra 236,pp.216-235 (Single)
26.	2000	Article	Adams operations, localized Chern characters, and the positivity of Dutta multiplicity in characteristic 0 Trans. Amer. Math. Soc. 352,pp.3103-3116 (Collaboration)
27.	2000	Article	The positivity of intersection multiplicities and symbolic powers of prime ideals Compositio Math. 122,pp.165-182 (Collaboration)
28.	1997	Article	On Macaulayfication obtained by a blowing-up whose center is an equi-multiple ideal J. Algebra 190,pp.405-434 (Collaboration)
29.	1996	Article	A remark on the Riemann-Roch formula for affine schemes associated with Noetherian local rings Tohoku Math. J. 48,pp.121-138 (Single)
30.	1994	Article	On finite generation of Rees rings defined by filtrations of ideals J. Math. Kyoto Univ. 34,pp.73-86 (Single)
31.	1994	Article	On the vanishing and the positivity of intersection multiplicities over local rings with small non complete intersection loci Nagoya Math. J. 136,pp.133-155 (Single)
32.	1993	Article	An approach to the characteristic free Dutta multiplicities J. Math. Soc. Japan 45,pp.369-390 (Single)
33.	1993	Article	Positive characteristic finite generation of symbolic Rees algebras and Roberts' counterexamples to the fourteenth problem of Hilbert Tokyo J. Math. 16,pp.473-496 (Single)
34.	1992	Article	Noether normalizations for local rings of algebraic varieties Proc. Amer. Math. Soc. 116,pp.905-910 (Single)
35.	1992	Article	Resolutions of determinantal ideals; n-minors of (n+2)-square matrices Adv. in Math. 94,pp.1-66 (Collaboration)
36.	1991	Article	Relations on pfaffians I; plethysm formula J. Math. Kyoto Univ. 31,pp.713-731 (Single)
37.	1991	Article	Relations on pfaffians II; a counterexample J. Math. Kyoto Univ. 31,pp.733-742 (Single)
38.	1989	Article	On relations on minors of generic symmetric matrices J. Algebra 124,pp.388-413 (Single)
39.	1989	Article	The first syzygies of determinantal ideals J. Algebra 124,pp.416-436 (Single)
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■ Conference Presentations

1.	2019/07/30	Rationality of negative curves and finite generation of symbolic Rees rings (Singularities and related topics)
2.	2019/03/23	Rationality of the negative curves and finite generation of symbolic Rees rings (Commutative Algebra and its Environs, 1147th AMS Meeting, University of Hawaii at Manoa)
3.	2011/03/31	Asymptotic behavior of regularity of powers of ideals (2011 NIMS hot topics workshop on "Computational Aspects on Birational Geometry")
4.	2010/12/16	Canonical module of multi-section rings
5.	2010/06/10	The canonical module of a Cox ring (Workshop on Local Rings and Local Study of Algebraic Varieties)
6.	2010/01/29	Asymptotic regularity of symbolic powers of ideals (Seminar on commutative algebra)
7.	2010/01/05	Asymptotic regularity of powers of ideals of points in a weighted projective plane (The 5th Japan-Vietnam joint seminar on commutative algebra)
8.	2009/11/24	Regularity of the symbolic powers of space monomial curves
9.	2009/09/12	Regularity of symbolic powers of ideals of Nagata type
10.	2009/07/06	Nagata conjecture and symbolic Rees rings of space monomial curves (1st PRIMA in UNSW)
11.	2009/04/23	Nagata conjecture and symbolic Rees rings of space monomial curves (Kommutative Algebra)
12.	2009/02/21	Nagata conjecture and symbolic Rees rings of space monomial curves (The 4th Japan-Vietnam joint seminar on commutative algebra)
13.	2008/10/03	Gorenstein quotient isolated sigularities of odd prime dimension are cyclic (Commutative Algebra and its Interaction with Algebraic geometry)
14.	2008/03/21	Symbolic Rees rings of space monomial curves in characteristic $p$ and existence of negative curves in characteristic $0$ (Towards establishing a cutting-edge platform for commutative ring theory in the 21th century)
15.	2007/12/05	A local ring such that the map between Grothendieck group with rational coefficients induced by completion is not injective (The 3rd Japan-Vietnam joint seminar on commutative algebra)
16.	2007/06/14	An example of a local ring R such that $G_0(R)_Q ->_0(R^)_Q$ is not injective (Commutative Algebra and its Interaction with Algebraic Geometry)
17.	2006/05/19	Numerical equivalence and the vanishing conjecture (Homological Conjectures in Commutative Algebra, A Conference in Honor of Paul Roberts' 60th Birthday)
18.	2006/03/21	An elementary proof of the formula $cl(^eA) = (p^{de} - p^{(d-1)e}) cl(w_A)/2$ (The second Japan-Vietnam Joint Seminar on Commutative Algebra)
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■ Academic Qualifications

1.

1990/03/23
Degree Acquisition

Kyoto University,

■ Career History

1.	1988/04～1995/03	Tokyo Metropolitan University Faculty of Sciencs Assistant professor
2.	1995/04～2003/03	Tokyo Metripolitan University Faculty of Sciences Associate Professor
3.	2003/04～	Meiji University Faculty of Science and Technology Professor

■ researchmap Researcher Code

1000053800

■ Web Sites

http://www.isc.meiji.ac.jp/~kurano/

■ Email Addresses

■ Current Specialized Field

Algebra

■ KAKENHI Researcher Number

90205188