Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

 
 

 

An algebraic approach to the topological degree of a smooth map


Author: David Eisenbud
Journal: Bull. Amer. Math. Soc. 84 (1978), 751-764
MSC (1970): Primary 55C25, 14B99; Secondary 10C05, 13B15, 26A93
DOI: https://doi.org/10.1090/S0002-9904-1978-14509-1
MathSciNet review: 0494226
Full-text PDF

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • [Bass] H. Bass, On the ubiquity of Gorenstein rings, Math. Z. 82 (1963), 8-28. MR 153708
  • [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. MR 437796
  • [Berger] R. Berger, Differenten regulärer Ringe, J. Reine Angew. Math. 214/215 (1964), 441-442. MR 160794
  • [Damon-Galligo] J. Damon and A. Galligo, A topological invariant for stable map germs, Invent. Math. 32 (1976), 103-132. MR 407883
  • [Mather] J. Mather, Stability of C mappings. III, Finitely determined map germs, Inst. Hautes Études Sci. Publ. Math. 35 (1968), 127-156.
  • [Milnor] J. Milnor, (1) Topology from a differentiable point of view, University Press of Virginia, Charlottesville, Virginia, 1965. MR 226651
  • [Milnor] J. Milnor, (2) Singular points of complex hypersurfaces, Princeton Univ. Press, Princeton, N. J., 1970. MR 239612
  • [Serre] J.-P. Serre, Corps locaux, Hermann, Paris, 1968. MR 354618
  • [Scheja-Storch], Über Spurfunktionen vollständigen Durchschnitten, J. Reine Angew. Math. 278/279 (1975), 174-189. MR 393056
  • [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. MR 295384
  • [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. MR 467800

Similar Articles

Retrieve articles in Bulletin of the American Mathematical Society with MSC (1970): 55C25, 14B99, 10C05, 13B15, 26A93

Retrieve articles in all journals with MSC (1970): 55C25, 14B99, 10C05, 13B15, 26A93


Additional Information

DOI: https://doi.org/10.1090/S0002-9904-1978-14509-1

American Mathematical Society