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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Wildly ramified $Z/2$ actions in dimension two
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by M. Artin PDF
Proc. Amer. Math. Soc. 52 (1975), 60-64 Request permission

Abstract:

The rings of power series which are invariant under an automorphism of order 2 are described by equations having a standard form.
References
    A. Grothendieck, Techniques de construction et théorèmes d’existence en géométrie algébrique. III, Séminaire Bourbaki 13ième année: 1960/61, Exposé 212, fasc. 1, Secrétariat mathématique, Paris, 1961. MR 27 #1339.
  • RevĂŞtements Ă©tales et groupe fondamental (SGA 1), Documents MathĂ©matiques (Paris) [Mathematical Documents (Paris)], vol. 3, SociĂ©tĂ© MathĂ©matique de France, Paris, 2003 (French). SĂ©minaire de gĂ©omĂ©trie algĂ©brique du Bois Marie 1960–61. [Algebraic Geometry Seminar of Bois Marie 1960-61]; Directed by A. Grothendieck; With two papers by M. Raynaud; Updated and annotated reprint of the 1971 original [Lecture Notes in Math., 224, Springer, Berlin; MR0354651 (50 #7129)]. MR 2017446
  • Joseph Lipman, Rational singularities, with applications to algebraic surfaces and unique factorization, Inst. Hautes Études Sci. Publ. Math. 36 (1969), 195–279. MR 276239, DOI 10.1007/BF02684604
  • J.-P. Serre, Algèbre locale. MultiplicitĂ©s, 2ième Ă©d., Lecture Notes in Math., no. 11, Springer-Verlag, Berlin and New York, 1965. MR 34 #1352.
  • Oscar Zariski, On the purity of the branch locus of algebraic functions, Proc. Nat. Acad. Sci. U.S.A. 44 (1958), 791–796. MR 95846, DOI 10.1073/pnas.44.8.791
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Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 52 (1975), 60-64
  • MSC: Primary 14E20
  • DOI: https://doi.org/10.1090/S0002-9939-1975-0374136-3
  • MathSciNet review: 0374136