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On the purity of the branch locus. (English) Zbl 0242.14001

MSC:
14B10 Infinitesimal methods in algebraic geometry
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References:
[1] A. Altman And S. Kleiman [1] Introduction to Grothendieck duality theory , Lecture Notes in Math. Vol. 146, Springer-Verlag, Berlin-Heidelberg -New York (1970). · Zbl 0215.37201 · doi:10.1007/BFb0060932
[2] A. Grothendieck [2 ] Appendix to Crystals and the De Rham Coh. of Sch., in Dix exposés sur la cohomologie des schémas , North-Holland Publ. Co., Amsterdam (1968). · Zbl 0215.37102
[3] A. Grothendieck [3] ” Sem de Geom. Alg. 2 ”, North-Holland Publ. Co., Amsterdam (1968). Exposé X Theorem (3.4).
[4] N. Katz [4] Nilpotent connections and the Monodromy Theorem Applications of a Result of Turrittin ”, in Sem. on Degeneration of Alg. Var., Inst. for Adv. Study , Princeton, New Jersey (1970). Remark 8.9.16. · Zbl 0221.14007 · doi:10.1007/BF02684688 · numdam:PMIHES_1970__39__175_0 · eudml:103909
[5] O. Zariski [5] ” On the purity of the branch locus of algebraic functions ,” Proc. Nat. Acad. Sci. U.S.A. 44 (1958), 791-796. · Zbl 0087.35703 · doi:10.1073/pnas.44.8.791
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