References
- Buchweitz , R. O. and Chen , Q. 1997 . Hilbert-Kunz functions of cubic curves and surfaces . J. Algebra , 197 : 246 – 267 .
- Buchweitz, R. O.; Chen, Q.; Pardue, K. Hilbert-Kunz functions. Preprint
- Bruns , W. and Herzog , J. 1993 . Cohen–Macaulay Rings Cambridge University Press .
- Conca , A. 1996 . Hilbert-Kunz functions of monomials and binomial hypersurfaces . Manuscripta Math. , 90 : 287 – 300 .
- Eto , K. 2000 . Hilbert-Kunz multiplicity of the Segre product of polynomial rings . Rep. Res. Nippon Inst. Tech. , 30 : 317 – 327 .
- Eto , K. 2002 . Multiplicity and Hilbert-Kunz multiplicity of monoid rings . Tokyo J. Math. , 25 : 241 – 245 .
- Goto , S. and Watanabe , K.-i. 1978 . On graded rings I . J. Math. Soc. Japan , 30 : 179 – 213 .
- Hanes , D. 2002 . Notes on Hilbert-Kunz function . Comm. Algebra , 30 : 3789 – 3812 .
- Han , C. and Monsky , P. 1993 . Some surprising Hilbert-Kunz functions . Math. Z , 214 : 119 – 135 .
- Hochster , M. and Huneke , C. 1990 . Tight closure, invariant theory, and Briançon-Skoda theorem . J. Amer. Math. Soc. , 3 : 31 – 116 .
- Hochster , M. and Huneke , C. 1994 . F-regularity, test elements, and smooth base change . Trans. of Amer. Math. Soc. , 346 : 1 – 62 .
- Huneke , C. 1996 . Tight Closure and Its Applications American Mathematical Society .
- Hara , N. , Watanabe , K.-i. and Yoshida , K. 2002 . F-rationality of Rees algebras . J. Algebra , 247 : 153 – 190 .
- Kunz , E. 1969 . Characterizations of regular local rings of characteristic p . Amer. J. Math. , 41 : 772 – 784 .
- Kunz , E. 1976 . On Noetherian rings of characteristic p . Amer. J. Math. , 88 : 999 – 1013 .
- Matsumura , H. 1986 . Commutative Ring Theory Cambridge University Press .
- Monsky , P. 1983 . The Hilbert-Kunz function . Math. Ann. , 263 : 43 – 49 .
- Nagata , M. 1962 . Local Rings Interscience .
- Rees , D. 1961 . A note on analytically unramified local rings . J. London Math. Soc. , 36 : 24 – 28 .
- Seibert , G. 1997 . The Hilbert-Kunz function of rings of finite Cohen–Macaulay type . Arch. Math. (Basel) , 69 : 286 – 296 .
- Stanley , R. P. 1997 . Enumerative Combinatorics I Cambridge University Press .
- Verma , J. K. 1988 . Rees algebras and mixed multiplicities . Proc. Amer. Math. Soc. , 104 : 1036 – 1044 .
- Watanabe , K.-i. 2000 . Hilbert-Kunz multiplicity of Toric rings . Proc. Inst. Nat. Sci. (Nihon Univ.) , 35 : 173 – 177 .
- Watanabe , K.-i. and Yoshida , K. 2000 . Hilbert-Kunz multiplicity and an inequality between multiplicity and colength . J. Algebra , 230 : 295 – 317 .
- Watanabe , K.-i. and Yoshida , K. 2001a . Hilbert-Kunz multiplicity of two-dimensional local rings . Nagoya Math. J. , 162 : 87 – 110 .
- Watanabe , K.-i. and Yoshida , K. 2001b . Hilbert-Kunz multiplicity, McKay correspondence and good ideals in two-dimensional rational singularities . Manuscripta Math. , 104 : 275 – 294 .