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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Note on the Riemann-Hurwitz type formula for multiplicative sequences
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by Takeshi Izawa
Proc. Amer. Math. Soc. 131 (2003), 3583-3588
DOI: https://doi.org/10.1090/S0002-9939-03-07118-1
Published electronically: June 18, 2003
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Abstract:

We give a formula of the Riemann-Hurwitz type for classes defined by multiplicative sequences as corollaries of the Chern number formula for ramified coverings.
References
  • Jean-Paul Brasselet, Une généralisation de la formule de Riemann-Hurwitz, Journées de géométrie analytique (Univ. Poitiers, Poitiers, 1972), Bull. Soc. Math. France Suppl. Mém., No. 38, Soc. Math. France, Paris, 1974, pp. 99–106 (French). MR 0361176, DOI 10.24033/msmf.157
  • El Hadji Cheikh Mbacké Diop, Résidus d’applications holomorphes entre variétés, Hokkaido Math. J. 29 (2000), no. 1, 171–200 (French, with English summary). MR 1745509, DOI 10.14492/hokmj/1350912963
  • Phillip Griffiths and Joseph Harris, Principles of algebraic geometry, Pure and Applied Mathematics, Wiley-Interscience [John Wiley & Sons], New York, 1978. MR 507725
  • F. Hirzebruch, Topological methods in algebraic geometry, Third enlarged edition, Die Grundlehren der mathematischen Wissenschaften, Band 131, Springer-Verlag New York, Inc., New York, 1966. New appendix and translation from the second German edition by R. L. E. Schwarzenberger, with an additional section by A. Borel. MR 0202713
  • F. Hirzebruch, The signature of ramified coverings, Global Analysis (Papers in Honor of K. Kodaira), Univ. Tokyo Press, Tokyo, 1969, pp. 253–265. MR 0258060
  • Józef Marcinkiewicz and Antoni Zygmund, Sur la dérivée seconde généralisée, Bull. Sém. Math. Univ. Wilno 2 (1939), 35–40 (French). MR 45
  • Takeshi Izawa, Chern number formula for ramified coverings, J. Math. Soc. Japan 52 (2000), no. 1, 1–15. MR 1727204, DOI 10.2969/jmsj/05210001
  • Yosef Yomdin, The structure of strata $\mu =\textrm {const}$ in a critical set of a complete intersection singularity, Singularities, Part 2 (Arcata, Calif., 1981) Proc. Sympos. Pure Math., vol. 40, Amer. Math. Soc., Providence, RI, 1983, pp. 663–665. MR 713289, DOI 10.1090/pspum/040.2/713289
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Bibliographic Information
  • Takeshi Izawa
  • Affiliation: Department of Mathematics, Faculty of Science, Hokkaido University, Sapporo 060, Japan
  • Email: t-izawa@math.sci.hokudai.ac.jp
  • Received by editor(s): April 6, 2001
  • Published electronically: June 18, 2003
  • Additional Notes: This article was partially supported by the Japan Society for the Promotion of Science
  • Communicated by: Mohan Ramachandran
  • © Copyright 2003 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 131 (2003), 3583-3588
  • MSC (2000): Primary 57R20; Secondary 32J25
  • DOI: https://doi.org/10.1090/S0002-9939-03-07118-1
  • MathSciNet review: 1991772