Department of Mathematics

School of Science and Technology

Meiji University

Higashimita 1-1-1, Tama-ku

Kawasaki-shi 214-8571, Japan

E-mail: kurano AT meiji.ac.jp

研究室の学生の卒業論文 (Japanese only)

[42]
**Equations of negative curves of blow-ups of Ehrhart rings of rational convex polygons**,
preprint.
pdf-file

[41] with K. Nishida,
**Infinitely generated symbolic Rees rings of space monomial curves having negative curves**,
Michigan Math. J. **68** (2019), 405-445.
pdf-file

[40] with K. Shimomoto,
**Ideal-adic completion of quasi-excellent rings (after Gabber)**,
to appear in Kyoto J. Math.
pdf-file

[39] with K. Shimomoto,
**An elementary proof of Cohen-Gabber theorem in the equal characteristic p > 0 case**,
Tohoku Math. J. **70** (2018), 377-389.
pdf-file

[38] with H. Dao,
**Asymptotic behavior of system of ideals via K-theoretic methods**,
in preparation.

[37] with Y. Arai and A. Echizenya,
**Demazure construction for Z^n-graded Krull domains**,
Acta Math. Vietnam **44** (2019), 173-205.
pdf-file

[36] with K. Ohta,
**On the limit of Frobenius in the Grothendieck group**,
Acta Math. Vietnam **40** (2015), 161-172.
pdf-file

[35] with H. Dao,
**Boundary and shape of Cohen-Macaulay cone**,
Math. Ann. **364** (2016), 713-736.
pdf-file

[34] with C.-Y. Jean Chan,
**Hilbert-Kunz functions over rings regular in codimension one**,
Comm. in Algebra **44** (2016), 141-163.
pdf-file

[33] with C.-Y. Jean Chan,
**The cone spanned by maximal Cohen-Macaulay modules and an application**,
Trans. Amer. Math. Soc. **368** (2016), 939-964.
pdf-file

[32] with H. Dao,
**Hochster's theta pairing and numerical equivalence**,
Journal of K-theory **14** (2014), 495-525.
pdf-file

[31]
**The divisor class groups and the graded canonical modules of multi-section rings**,
Nagoya Math J. **212** (2013), 139-157.
pdf-file

[30] with M. Hashimoto,
**The canonical module of a Cox ring**,
Kyoto J. Math. **51** (2011), 855-874.
pdf-file

[29] with Steven D. Cutkosky,
**Asymptotic regularity of powers of ideals of points in a weighted projective plane**,
Kyoto J. Math. **51** (2011), 25-45.
pdf-file

[28] with S. Nishi,
**Gorenstein isolated quotient singularities of odd prime dimension are cyclic**,
Comm. in Algebra. **40** (2012), 3010-3020.
pdf-file

[27] with A. Singh,
E.-i. Sato and
K.-i. Watanabe,
**Multigraded rings, diagonal subalgebras, and rational singularities**,
J. Algebra. **322** (2009), 3248-3267.pdf-file

[26] with N. Matsuoka,
**On finite generation of symbolic Rees rings of space monomial curves and
existence of negative curves**,
J. Algebra **322** (2009), 3268-3290. pdf-file

[25] with V. Srinivas,
**A local ring such that
the map between Grothendieck groups with rational coefficient
induced by completion is not injective**,
Michigan Math. J. **57** (2008), 485-498. pdf-file

[24]
**The singular Riemann-Roch theorem and Hilbert-Kunz functions**,
J. Algebra **304** (2006), 487-499, pdf-file

[23]
**Numerical equivalence defined on Chow
groups of Noetherian local rings**,
Invent. Math. **157** (2004), 575-619. pdf-file

[22] with E. J. Elizondo and
K.-i. Watanabe,
**The total coordinate ring of a normal projective variety**,
J. Algebra **276** (2004), 625-637.pdf-file

[21] with S. Goto,
F. Hayasaka and
Y. Nakamura,
**Rees algebras of the second syzygy module
of the residue field of a regular local ring**,
Contemporary Math. **390** (2005), 97--108.
dvi-file

[20] with A. K. Singh,
**Todd classes of affine cones of Grassmannians**,
Int. Math. Res. Notices **35** (2002), 1841-1855.pdf-file

[19] with Y. Kamoi,
**On maps of Grothendieck groups induced by completion**,
J. Algebra **254** (2002), 21-43. pdf-file

[18] with Y. Kamoi,
**On Chow groups of G-graded rings**,
Comm. Alg.

[17] **Roberts rings and Dutta multiplicities (survey) **,
"Geometric and combinatorial aspects
of commutative algebra", 273-287.
Lect. Notes in Pure and Applied Math. **217**, Marcel Dekker, 2001., ps-file

[16] **On Roberts rings**,
J. Math. Soc. Japan **53** (2001), 333-355, ps-file

[15] **Test modules to calculate Dutta Multiplicities**,
J. Algebra **236** (2001), 216-235, ps-file

[14] with P. C. Roberts,
**The positivity of intersection multiplicities and
symbolic powers of prime ideals**,
Compositio Math. **122** (2000), 165-182, ps-file

[13] with P. C. Roberts,
**Adams operations, localized Chern characters,
and the positivity of Dutta multiplicity in characteristic 0**,
Trans. Amer. Math. Soc. **352** (2000), 3103-3116, ps-file

[12] with K. Yamagishi,
**On Macaulayfication obtained by a blowing-up whose center
is an equi-multiple ideal**,
J. Algebra **190** (1997), 405-434.

[11] **A remark on the Riemann-Roch formula for affine schemes
associated with Noetherian local rings**,
Tohoku Math. J. **48** (1996), 121-138.

[10] **On the vanishing and the positivity of intersection multiplicities
over local rings with small non complete intersection loci**,
Nagoya Math. J. **136** (1994), 133-155.

[9] **An approach to the characteristic free Dutta multiplicities**,
J. Math. Soc. Japan **45** (1993) 369-390.

[8] **Positive characteristic finite generation of symbolic Rees algebras
and Roberts' counterexamples to the fourteenth problem of Hilbert**,
Tokyo J. Math. **16** (1993), 473-496.

[7] **On finite generation of Rees rings defined by filtrations of ideals**,
J. Math. Kyoto Univ. **34** (1994), 73-86.

[6] **Noether normalizations for local rings of algebraic varieties**,
Proc. Amer. Math. Soc. **116** (1992) 905-910.

[5] with M. Hashimoto,
**Resolutions of determinantal ideals; n-minors of (n+2)-square matrices**,
Adv. in Math. **94** (1992) 1-66.

[4] **Relations on pfaffians II; a counterexample**,
J. Math. Kyoto Univ., **31** (1991), 733-742.

[3] **Relations on pfaffians I; plethysm formula**,
J. Math. Kyoto Univ. **31** (1991), 713-731.

[2] ** On relations on minors of generic symmetric matrices**,
J. Algebra **124** (1989), 388-413.

[1] ** The first syzygies of determinantal ideals**,
J. Algebra **124** (1989), 414-436.