Geodesic
Some open questions in the theory of singularities
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 27 (1972) no. 5 Cet article a éte moissonné depuis la source Math-Net.Ru

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     title = {Some open questions in the theory of singularities},
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}
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O. Zariski. Some open questions in the theory of singularities. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 27 (1972) no. 5. http://geodesic.mathdoc.fr/item/RM_1972_27_5_a7/

[1] S. Abhyankar, “Local uniformization on algebraic surfaces over ground fields of characteristic $p\ne0$”, Ann. of Math., 63 (1956), 491–526 ; Correction, 78 (1963), 202–203 | DOI | MR | DOI | MR | Zbl

[2] S. Abhyankar, “Resolution of singularities of arithmetical surfaces”, Proc. Conf. Arithmetical Algebraic Geometry (Purdue University, 1963), Harper Row, New York, 1965, 111–152 | MR

[3] S. Adhyankar, Resolution of singularities of embedded algebraic surfaces, Pure and Appl. Math., 24, Academic Press, New York, 1966 | MR

[4] H. Hironaka, “Resolution of singularities of an algebraic variety over a field of characteristic zero. I; II”, Ann. of Math., 79 (1964), 109–326 ; Matematika, 9:6 (1965), 2–70; 10:1 (1966), 3–89 ; 10:2 (1966), 3–58 | DOI | MR | Zbl | MR | MR

[5] H. Hironaka, “Normal cones in analytic Whitney stratifications”, Inst. Hautes Études Sci. Publ. Math., 36 (1969), 127–138 | DOI | MR | Zbl

[6] J. Milnor, Singular points of complex hupersurfaces, Ann. of Math. Studies, 61, Princeton Univ. Press, Princeton, N.J.; Univ. of Tokyo Press, Tokyo, 1968 ; Dzh. Milnor, Osobye tochki kompleksnykh giperpoverkhnostei, «Mir», M., 1971 | MR | Zbl | MR

[7] R. Thom, “Ensembles et morphismes stratifies”, Bull. Amer. Math. Soc., 75:2 (1969), 240–284 | DOI | MR | Zbl

[8] H. Whitney, “Local properties of analytic varieties”, Differential and Combinatorial Topology, A Symposium in Honor of Marston Morse, Princeton Univ. Press, Princeton, N.J., 1965, 205–244 | MR | Zbl

[9] H. Whitney, “Tangents to an analytic variety”, Ann. of Math., 81 (1965), 496–549 | DOI | MR | Zbl

[10] O. Zariski, “The reduction of the singularities of an algebraic surface”, Ann. of Math., 40 (1939), 639–689 | DOI | MR

[11] O. Zariski, “Local uniformization on algebraic varieties”, Ann. of Math., 41 (1940), 852–896 | DOI | MR

[12] O. Zariski, “Simplified proof for the resolution of singularities of an algedraic surface”, Ann. of Math., 43 (1942), 583–593 | DOI | MR | Zbl

[13] O. Zariski, “Reduction of the singularities of algebraic three dimensional varieties”, Ann. of Math., 45 (1944), 472–542 | DOI | MR | Zbl

[14] O. Zariski, “Studies in equisingularity. I: Equivalent singularities of plane algebroid curves”, Amer. J. Math., 87 (1965), 507–536 | DOI | MR | Zbl

[15] O. Zariski, “Studies in equisingularity. II: Equisingularity in codimension 1 (and characteristic zero)”, Amer. J. Math., 87 (1965), 972–1006 | DOI | MR | Zbl

[16] O. Zariski, “Studies in equisingularity. III: Saturation of local rings and equisingularity”, Amer. J. Math., 90 (1968), 961–1023 | DOI | MR