メイン＞研究室紹介＞蔵野ゼミ＞業績等

業績等：蔵野教授

論文(2000年以降)

• 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.
• with P. C. Roberts,
  The positivity of intersection multiplicities and symbolic powers of prime ideals,
  Compositio Math., 122 (2000), 165-182.
• Test modules to calculate Dutta Multiplicities,
  J. Algebra, 236 (2001), 216-235.
• On Roberts rings,
  J. Math. Soc. Japan, 53 (2001), 333-355.
• 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.
• with Y. Kamoi,
  On Chow groups of G-graded rings,
  Comm. Alg., 31 (2003), 2141-2160.
• with Y. Kamoi,
  On maps of Grothendieck groups induced by completion,
  J. Algebra, 254 (2002), 21-43.
• with A. K. Singh,
  Todd classes of affine cones of Grassmannians,
  Int. Math. Res. Notices, 35 (2002), 1841-1855.
• 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.
• with E. J. Elizondo and K.-i. Watanabe,
  The total coordinate ring of a normal projective variety,
  J. Algebra, 276 (2004), 625-637.
• Numerical equivalence defined on Chow groups of Noetherian local rings,
  Invent. Math.,157 (2004), 575-619.
• The singular Riemann-Roch theorem and Hilbert-Kunz functions,
  J. Algebra.,304 (2006), 487-499. 
• with V. Srinivas. A local ring such that the map between Grothendieck groups with rational coefficients induced by completion is not injective, Michigan Math. J. 57 (2008), 485-498.
• with N. Matsuoka. On finite generation of symbolic Rees rings of space monomial curves in characteristic positive-existence of negative curves in characteristic zero-, to appear in J. of Algebra.
• with E.-i. Sato, A. K. Singh and K.-i. Watanabe. Multigraded rings, diagonal subalgebras, and rational singularities, to appear in J. of Algebra.
• with S. Nishi. Gorenstein isolated quotient singularities of odd prime dimension are cyclic, preprint.