An algebraic approach to the topological degree of a smooth map
David Eisenbud
Source: Bull. Amer. Math. Soc. Volume 84, Number 5
(1978), 751-764.
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Permanent link to this document: http://projecteuclid.org/euclid.bams/1183541138
Mathematical Reviews number (MathSciNet): MR0494226
Zentralblatt MATH identifier: 0425.55003
References
[Bass] H. Bass, On the ubiquity of Gorenstein rings, Math. Z. 82 (1963), 8-28.
Zentralblatt MATH: 0112.26604
Mathematical Reviews (MathSciNet): MR153708
Digital Object Identifier: doi:10.1007/BF01112819
[Beauville] A. Beauville, Une notion de residue en géométrie analytique, Sem. P. Lelong, (1969/1970) Lecture Notes in Math., vol. 205, Springer-Verlag, New York, 1971, pp. 183-203.
Zentralblatt MATH: 0236.32004
Mathematical Reviews (MathSciNet): MR437796
[Berger] R. Berger, Differenten regulärer Ringe, J. Reine Angew. Math. 214/215 (1964), 441-442.
Zentralblatt MATH: 0142.28804
Mathematical Reviews (MathSciNet): MR160794
[Damon-Galligo] J. Damon and A. Galligo, A topological invariant for stable map germs, Invent. Math. 32 (1976), 103-132.
Zentralblatt MATH: 0333.57017
Mathematical Reviews (MathSciNet): MR407883
Digital Object Identifier: doi:10.1007/BF01389958
[Mather] J. Mather, Stability of C∞ mappings. III, Finitely determined map germs, Inst. Hautes Études Sci. Publ. Math. 35 (1968), 127-156.
Zentralblatt MATH: 0159.25001
Mathematical Reviews (MathSciNet): MR275459
[Milnor] J. Milnor, (1) Topology from a differentiable point of view, University Press of Virginia, Charlottesville, Virginia, 1965.
Zentralblatt MATH: 0136.20402
Mathematical Reviews (MathSciNet): MR226651
[Milnor] J. Milnor, (2) Singular points of complex hypersurfaces, Princeton Univ. Press, Princeton, N. J., 1970.
Zentralblatt MATH: 0184.48405
Mathematical Reviews (MathSciNet): MR239612
[Serre] J.-P. Serre, Corps locaux, Hermann, Paris, 1968.
Zentralblatt MATH: 0137.02601
Mathematical Reviews (MathSciNet): MR354618
[Scheja-Storch], Über Spurfunktionen vollständigen Durchschnitten, J. Reine Angew. Math. 278/279 (1975), 174-189.
Zentralblatt MATH: 0316.13003
Mathematical Reviews (MathSciNet): MR393056
[Zakaljukin] V. M. Zakaljukin, Algebraic computability of the index of a singular point of a vector field, Funkcional Anal. i. Priložen 6 (1972), 77-78.
Zentralblatt MATH: 0247.57005
Mathematical Reviews (MathSciNet): MR295384
[Eisenbud-Levine] D. Eisenbud and H. Levine, An algebraic formula for the degree of a C∞ map germ, Ann. of Math. (2) 106 (1977), 19-44.
Zentralblatt MATH: 0398.57020
Mathematical Reviews (MathSciNet): MR467800
Digital Object Identifier: doi:10.2307/1971156
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