This is a preview of subscription content, log in via an institution to check access.
References
[Ang 84] Angeniol, B.: Residues et éffectivité (Preprint)
[Art 76] Artin, M.: Lectures on Deformations of Singularities. Tata Institute of Fundamental Research, Bombay, 1976
[Bay 82] Bayer, D.: The Division Algorithm and the Hilbert Scheme. Ph.D. thesis, Harvard University, 1982
[BaSt 86] Bayer, D., Stillman, M.: A Theorem on Refining Division Orders by the Reverse Lexicographic Order (Preprint)
[Bri 73] Briancon, J.: Weierstrass préparè à la Hironaka. Astérisque7, 8, 67–73 (1973)
[Buc65] Buchberger, B.: Ein Algorithmus zum Auffinden der Basiselemente des Restklassenringes nach einen nulldimensionalen Polynomideal. Ph.D. Thesis, Univ. Innsbruck, 1965
[Buc 76] Buchberger, B.: A theoretical basis for the reduction of polynomials to canonical forms. ACM SIGSAM Bulletin 39, August 1976, pp. 19–29
[EiGo 84] Eisenbud, D., Goto, S.: Linear free resolutions and minimal multiplicity. J. Algebra88, 89–133 (1984)
[Gal 74] Galligo, A.: A propos du théorème de préparation de Weierstrass. Fonctions de Plusieurs Variables Complexes. Lect. Notes Math.409, 543–579 (1974)
[Gal 79] Galligo, A.: Théorème de division et stabilité en géometrie analytique locale. Ann. Inst. Fourier, Grenoble29, 107–184 (1979)
[Giu 84] Giusti, M.: Some effectivity problems in polynomial ideal theory, (proceedings of) EUROSAM 84, Lect. Notes Comp. Sci.174, 159–171 (1984)
[Her 26] Hermann, G.: Die Frage der endlich vielen Schritte in der Theorie der Polynomideale. Math. Ann.95, 736–788 (1926)
[Hir 64] Hironaka, H.: Resolution of singularities of an algebraic variety over a field of characteristic zero: I, II, Ann. Math.79, 109–326 (1964)
[Laz 83] Lazard, D.: Gröbner bases, Gaussian elimination and resolution of systems of algebraic equations. Computer Algebra (proceedings of EUROCAL 83), Lect. Notes Comp. Sci.162, 146–156 (1983)
[Mac 27] Macaulay, F.S.: Some properties of enumeration in the theory of modular systems. Proc. London Math. Soc.26, 531–555 (1927)
[Mum 66] Mumford, D.: Lectures on Curves on an Algebraic Surface. Princeton University Press, Princeton, New Jersey, 1966
[Sch 80] Schreyer, F.O.: Die Berechnung von Syzygien mit dem verallgemeinerten Weierstraßschen Divisionssatz und eine Anwendung auf analytische Cohen-Macaulay Stellenalgebren minimaler Multiplizität. Diplomarbeit am Fachbereich Mathematik der Universität Hamburg, 1980
[Spe 77] Spear, D.: A constructive approach to commutative ring theory. Proceedings of the 1977 MACSYMA Users' Conference, NASA CP-2012 (1977) pp. 369–376
[Tri 78] Trinks, W.: Über B. Buchberger's Verfahren. Systeme algebraischer Gleichungen zu Losen. J. Number Theory10, 475–488 (1978)
Author information
Authors and Affiliations
Additional information
Partially supported by N.S.F. grant DMS 8403168
Rights and permissions
About this article
Cite this article
Bayer, D., Stillman, M. A criterion for detectingm-regularity. Invent Math 87, 1–11 (1987). https://doi.org/10.1007/BF01389151
Issue Date:
DOI: https://doi.org/10.1007/BF01389151