Publications
1. Some projective contraction theorems, Manuscripta Math., 22, (1977)
343-358
@
2. Moduli of subrings of a local ring, J. Alg., 67, (1980) 504-516
3. Global Moduli of equisingular complete curves, J. Alg., 78, (1982) 255-264
4. Moduli space of polarized del Pezzo surfaces and its compactifications,
@ Tokyo J. of Math.5, (1982) 289-297
5. A characterization of hyperplane cuts of smooth complete intersections,
@ Proc. Japan Acad., 58,(1982) 309-311
6. Chow instability of certain projective varieties, Nagoya Math. J., 92,
(1983)@39-50
@
7. On the pluri-genera and mixed Hodge structures of isolated@singularities,
@ Proc. Japan Acad., 59, (1983) 355-357
8. On isolated Gorenstein singularities, Math. Ann., 270, (1985) 541-554
9. Du Bois singularities on a normal surface, in Adv. St. in Pure Math.
8:
@Complex analytic singularities, (1986) 153-163
10. Isolated Q-Gorenstein singularities of dimension three, Adv. Stu. in
Pure Math. 8.
@@Complex analytic singularities, (1986) 165-198
11. "Small deformations of normal singularities," Math. Ann.
275, (1986) 139-148
12. Two dimensional singularities with bounded pluri-genera are Q-Gorenstein
@@singularities, Contemporary. Math., 90, (1989) 135-145
13. The asymptotic behavior of pluri-genera for a normal isolated singularity,
@@Math. Ann., 286, (1990) 803-812
14. Quasi-Gorenstein Fano 3-folds with the isolated non-rational loci Compositio
@@ Math., 77, (1991) 335-341
15. Simultaneous canonical models of deformations of isolated singularities,
@@Algebraic Geometry and Analytic Geometry, Proceeding of the Satellite
@@Conference of ICM 90, Springer Lecture Note, (1991)@ 81-100
16. (with K.Watanabe) A geometric characterization of a simple K3-singularity,
@@Tohoku Math. J. 44, (1992) 19-24
17. Plurigenera of normal isolated singularities, Singularity Theory, World
Scientific,
@@(1995) 263-275
18. A Fano 3-fold with non-rational singularities and a two-dimensional basis, Abh.
@@Math. Hamburg 64, (1994) 249-277
19. The canonical modifications by weighted blow-ups, J. of Alg. Geom.
5, (1996)
@@783-799
20. Minimal, canonical and log-canonical models of hypersurface singularities,
@@Contem. Math. 207, (1997) 63-77
21. (with H.Chen) On $-K^2$ for normal surface singularities, Int. J. Math. 9, (1998)
@@653-668
22. The minimal model theorem for divisors of toric varieties, Tohoku Math.
J., 51,
@@(1999) 213-226
23. The quotient of log-canonical singularities by finite groups. Adv. St. in Pure Math.
@@29, (2000) 135-161
24. (with M.Tomari) Hypersurface non-rational singularities which look
canonical
@@from their Newton boundaries.Math. Zeitschrift, 237, (2001) 125-147
25. On toric image divisors. Comm. Alg., 29 (3), (2001) 1165-1173.
26. (with Y. Prokhorov) Hypersurface exceptional singularities. Int. J.
Math.12, (2001)
@@ 661-687
27. (with H. Chen) On $-K^2$ for normal surface singularities II. Int.
J. Math.11, (9),
@@(2000) 1193-1202
28. The invariant $-K^2$ and continued fractions for 2-dimensional cyclic quotient
@@ singularities. Abh. Math. Sem. 72, (2002) 207-215
29. (with P. Milman) The geometric minimal models of analytic spaces. Math.
Ann.
@@323, (2002) 437-451
30. Extremal functions and prime blow-ups. Comm. Alg.32 (3), (2004) 819-827
31. (with J. Kollar) The Nash problem on arc families of singularities.
Duke Math. J.
@@120, (2003) 601-620
32. The arc space of a toric variety. J. Alg. 278, (2004) 666-683
33. Arcs, valuations and the Nash maps. J. reine und angewandte Math. 588,
@@(2005) 71-92
34. The local Nash problem on arc families of singularities. Ann. de L'Institut
Fourier.
@@56, (2006) 1207-1224
35. Jet schemes, arc spaces and the Nash problem, C.R.Math. Rep. Acad.
Canada,
@@29, (2007) 1-21
36. Maximal divisorial sets in arc spaces, Adv. St. Pure Math. 50, (2008)
237-249
37. (with T. De Fernex & L. Ein) Divisorial valuations via arcs, Publ.
RIMS 44,
@@(2008) 425-448
38. Smoothness and jet schemes, Adv. St. Pure Math. 56, (2009) 187-199
39. (with J. Winkelmann) Isomorphisms of jet schemes, C. R. Math. Rep. Acad.
@@Sci. Canada.32, (2010) 19-23
40. Nash problem for a toric pair and the minimal log-discrepancy, C. R. Math.
@@Acad. Sci. Paris 348, (2010) 985-988
41. Geometric properties on jet schemes, Comm. Alg. 39, Number 5, (2011)
@@1872-1882
42. iwith K-i. Watanabe, A.Sannai) Jet schemes of homogeneous
@@ hypersurfaces,@Singularities in Geometry and Topology, Strasbourg
@@ 2009, (2012) 39-49
43. A supplement to Fujino's paper: On isolated log canonical singularities
@@ with index one, J. Math. Sci. Univ. Tokyo. 19, (2012) 135-138
44. Mather discrepancy and the arc spaces, Annales de l'Institut Fourier,
63,
@@(2013) 89-111
45. (with L. Ein and M. Mustata) Multiplier ideals via Mather discrepancy,
@@Adv. Studies in Pure Math.,70, (2017) 1-20
46. (with A. Reguera) Singularities with the highest Mather minimal log
discrepancy,
@@ Math. Zeitschrift., 275, Issue 3-4, (2013) 1255-1274
47. (with L. Ein) Singularities with respect to the Mather-Jacobian discrepancies
@@MSRI Publications Volume 67, (2015) 125-168
48. (with Wenbo Niu) A strongly geometric general residual intersection,
@@(preprint arXiv:1611.01581, ) AMS Contemporary Mathematics Volume 712,
@@(2018) 197-210
49. (with A. Reguera) Singularities in arbitrary characteristic via jet
schemes,
@@arXiv:1510. 05210, "Hodge theory and L^2 analysis", (2017)
419-449
50. Finite determination conjecture for Mather-Jacobian minimal log discrepancies
@@and its application, arXiv:1703.08500, European Journal of Mathmatics,
4 (4),
@@(2018) 1433-1475
51. (with L. Ein and T. De Fernex) Jet closures and the local isomorphism
problem,
@@ arXiv:1704.07494, Journal of Algebra, 501, (2018) 166-181
52. Inversion of modulo p reduction and a partial descent from characteristic 0
@@to positive characteristic, (arXiv:1808.10155), Romanian Journal of Pure and
@@Applied Math. Vol. LXIV, No.4 (2019) 431-459
53DThe minimal log discrepancies on a smooth surface in positive characteristic,
@@ (arXiv:1905.12792), Math. Zeitschrift, 297, (2021) 389-397
54. A bound of the number of weighted blow-ups to compute the minimal log
@@discrepancy for smooth 3-folds, Math. Proc. Cambrige Phil. Soc., 176,
@@(2024) 494-515
55. (with K-i.Yoshida) On Vanishing of higher direct images of the structure
sheaf,
@@@arXiv:2410.15282, to appear in Michigan Math. Journal.
56DLiftings of ideals in positive characteristic to those in characteristic zeroF
@@@Low dimension, arXiv:2410.15291, Journal of Algebraic Geometry, DOI:
@@ https://doi.org/10.1090/jag/854
57. Liftings of ideals in positive characteristic to those in characteristic zero:
@@@Higher dimension, arXiv: 2506.23533

Books in English
1. Introduction to Singularities,(233pages), 2014, Springer-Verlag
2. Singularities in the world of mathematics, in "My Life"
@ (12 coauthors), edited by Y.Kozai, T.Tominaga, T.Hisatome,
@ K.Saruhashi, ΰcVίή , All 332 pages
3. Introduction to Singularities (2nd edition), (236pages), 2018,
@ Springer-Verlag
4. Handbook of Geometry and Topology of Singularities W, "Singularities
@@the space of arcs and applications to birational geometry", 161-210,
@@2023, Springer

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