An algebraic construction of the generic singularities of Boardman-Thom
Mount, Kenneth ; Villamayor, Orlando E.
Publications Mathématiques de l'IHÉS, Tome 43 (1974), p. 205-244 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU) 
@article{PMIHES_1974__43__205_0,
     author = {Mount, Kenneth and Villamayor, Orlando E.},
     title = {An algebraic construction of the generic singularities of Boardman-Thom},
     journal = {Publications Math\'ematiques de l'IH\'ES},
     volume = {43},
     year = {1974},
     pages = {205-244},
     mrnumber = {50 \#1283},
     zbl = {0283.57013},
     language = {en},
     url = {http://dml.mathdoc.fr/item/PMIHES_1974__43__205_0}
}

Mount, Kenneth; Villamayor, Orlando E. An algebraic construction of the generic singularities of Boardman-Thom. Publications Mathématiques de l'IHÉS, Tome 43 (1974) pp. 205-244. http://gdmltest.u-ga.fr/item/PMIHES_1974__43__205_0/

[1] P. Berthelot, Immersions régulières et calcul du K d'un schéma étale, SGA, Exposé VII. | Zbl 0225.14004

[2] J. M. Boardman, Singularities of differentiable maps, Publ. Math. I.H.E.S., 33 (1967), 21-57. | Numdam | MR 37 #6945 | Zbl 0165.56803

[3] D. Buchsbaum, A generalized Koszul complex, I, Trans. Amer. Math. Soc., 111 (1964), 183-196. | MR 28 #3075 | Zbl 0131.27801

[4] H. Cartan and S. Eilenberg, Homological Algebra, Princeton Univ. Press, Princeton, N. J., 1956. | MR 17,1040e | Zbl 0075.24305

[5] C. Chevalley, Seminar on Categories and sheaves, Fall, 1962. | Zbl 0801.00006

[6] J. Eagon, Ideals generated by the subdeterminants of a matrix, Ph. d. Thesis, Univ. of Chicago, Chicago, Ill., 1961.

[7] J. A. Eagon and D. G. Northcott, Ideals defined by matrices and a certain complex associated with them, Proc. Royal Society, A, 269 (1962), 188-204. | MR 26 #161 | Zbl 0106.25603

[8] Fitting, Die Determinantenideale eines Moduls, Jahresbericht der Deutschen Math. Vereinigung, X, VI (1936), 195-221. | JFM 62.1104.02 | Zbl 0016.05003

[9] A. Grothendieck, Eléments de géométrie algébrique, Publ. Math. I.H.E.S., 4 (1960), 1-228. | Numdam | Zbl 0118.36206

[10] Hodge and Pedoe, Methods in Algebraic Geometry, vol. I, Cambridge Univ. Press, 1947.

[11] N. Jacobson, Lie Algebras, Interscience Tracts in Pure and Applied Mathematics No. 10, Interscience, New York, 1962. | MR 26 #1345 | Zbl 0121.27504

[12] K. Mount, Some remarks on Fitting's invariants, Pacific Journal of Math., 13 (1963), 1353-1357. | MR 29 #128 | Zbl 0124.26903

[13] K. Mount and O. E. Villamayor, Taylor series and higher derivations, Publication de Departamento de Matematica, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Argentina.

[14] Y. Nakai, On the theory of differentials in commutative rings, J. Math. Soc. of Japan, 13 (1961), 63-84. | MR 23 #A2437 | Zbl 0113.26301