References
- Bivià-Ausina,C. (2002a). Łojasiewicz exponents,the integral closure of ideals and Newton polyhedra. To appear in J. Math. Soc. Japan
- Bivià-Ausina,C. (2002b). Non-degenerate ideals in formal power series rings. To appear in Rocky Mountain J. Math
- Brodmann , M. 1979 . The asymptotic nature of the analytic spread . Math. Proc. Camb. Phil. Soc. , 86 : 35 – 39 .
- Bruns , W. and Herzog , J. 1993 . Cohen-Macaulay Rings , Cambridge studies in advanced mathematics Vol. 39 , Cambridge University Press .
- Delfino,D.,Taylor,A.,Vasconcelos,W. V.,Weininger,N.,Villarreal,R. H. Monomial ideals and the computation of multiplicities. Preprint
- Eisenbud , D. 1995 . Commutative Algebra with a View Toward Algebraic Geometry , Graduate Texts in Mathematics Vol. 150 , Springer Verlag .
- Hochster , M. 1972 . Rings of invariants of tori,Cohen-Macaulay rings generated by monomials,and polytopes . Ann. of Math. , 96 ( 2 ) : 318 – 337 .
- Herrmann , M. , Ikeda , S. and Orbanz , U. 1988 . Equimultiplicity and Blowing Up Springer-Verlag .
- Kouchnirenko , A. G. 1976 . Polyèdres de Newton et nombres de Milnor . Invent. Math. , 32 : 1 – 31 .
- Lejeune,M.,Teissier,B. (1974). Clôture intégrale des idéaux et equisingularité. Centre de Mathématiques,Université Scientifique et Medicale de Grenoble
- Lipman , J. 1982 . “ Equimultiplicity,reduction and blowing up ” . In Commutative Algebra,Analytical Methods , Lecture Notes in Pure and Applied Mathematics Edited by: Draper , R. N. Vol. 68 , 111 – 147 . New York and Basel : Marcel Dekker Inc. .
- Matsumura , H. 1992 . Commutative Ring Theory , Cambridge Studies in Advanced Mathematics Vol. 8 , Cambridge University Press .
- Northcott , D. G. and Rees , D. 1954 . Reductions of ideals in local rings . Math. Proc. Camb. Phil. Soc. , 50 : 145 – 158 .
- Ratliff , L. J. 1983 . Note on analytic spread and asymptotic sequences . Math. Proc. Camb. Phil. Soc. , 93 : 49 – 55 .
- Rees , D. 1961a . 𝒶-transforms of local rings and a theorem on multiplicities of ideals . Proc. Camb. Phil. Soc. , 57 : 8 – 17 .
- Rees , D. 1961b . Rings associated with ideals and analytic spread . Math. Proc. Camb. Phil. Soc. , 89 : 423 – 432 .
- Saia , M. J. 1996 . The integral closure of ideals and the Newton filtration . J. Algebraic Geom. , 5 : 1 – 11 .
- Swanson , I. 1994 . A note on analytic spread . Comm. Algebra , 22 ( 2 ) : 407 – 411 .
- Teissier,B. (1973). Cycles évanescents,sections planes et conditions of Whitney,Singularités à Cargèse (Rencontre Singularités Géom. Anal.,Inst. Études Sci.,Cargèse,1972). Astérisque,Nos. 7 et 8,Soc. Math. France 285–362
- Yoshinaga , E. 1989 . Topologically principal part of analytic functions . Trans. Amer. Math. Soc. , 314 ( 2 ) : 803 – 814 .