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Note on the Riemann-Hurwitz type formula for multiplicative sequences

Author(s): Takeshi Izawa
Journal: Proc. Amer. Math. Soc. 131 (2003), 3583-3588.
MSC (2000): Primary 57R20; Secondary 32J25
Posted: 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:

[Br1]
J. P. Brasselet,
Une généralisation de la formule de Riemann-Hurwitz,
Bull. Soc. Math. France Suppl. Mémoire 38, 1974, 99-106. MR 50:13622

[D]
E. H. C. M. Diop,
Résidus d'applications holomorphes entre variétés, Hokkaido Math. J. 29, 2000, no. 1, 171-200. MR 2001g:32077

[GH]
P. Griffiths and J. Harris,
Principles of Algebraic Geometry,
John Wiley & Sons, New York, Chichester, Brisbane, Toronto, 1978. MR 80b:14001

[Hz1]
F. Hirzebruch,
Topological Methods in Algebraic Geometry,
Springer-Verlag, New York, Heidelberg, Berlin, 1966. MR 34:2573

[Hz2]
F. Hirzebruch,
The signature of ramified coverings,
Global Analysis (Papers in honor of K. Kodaira), Univ. Tokyo Press, Tokyo, 1969, pp. 253-265. MR 41:2707

[Iv]
B. Iversen,
Numerical invariants and multiple planes,
Amer. J. Math. 92, 1970, 968-996. MR 45:5135

[Iz]
T. Izawa,
Chern number formula for ramified coverings,
J. Math. Soc. Japan, 52, No. 1, 2000, 1-15. MR 2001i:32028

[Y]
Y. Yomdin,
The structure of strata $\mu =\operatorname{const}$ in a critical set of a complete intersection singularity,
Singularities, Part 2 (Arcata, Calif., 1981), Proc. Sympos. Pure Math., Amer. Math. Soc., Providence, R.I., 1983, 663-665. MR 85a:32013

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Additional Information:

Takeshi Izawa
Affiliation: Department of Mathematics, Faculty of Science, Hokkaido University, Sapporo 060, Japan
Email: t-izawa@math.sci.hokudai.ac.jp

DOI: 10.1090/S0002-9939-03-07118-1
PII: S 0002-9939(03)07118-1
Keywords: Ramified covering, Riemann-Hurwitz formula, multiplicative sequence
Received by editor(s): April 6, 2001
Posted: June 18, 2003
Additional Notes: This article was partially supported by the Japan Society for the Promotion of Science
Communicated by: Mohan Ramachandran
Copyright of article: Copyright 2003, American Mathematical Society

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