Algebraic Surfaces and the Arithmetic of Braids, I

  • B. Moishezon
Part of the Progress in Mathematics book series (PM, volume 36)


The present work is an informal continuation of [2]. Our terminology here is slightly different from that in [2]. We chose to work in affine spaces assuming always that algebraic varieties, which we consider, are in general positions to hyperplanes at ∞ and to centers of projections.


Normal Form Braid Group Algebraic Surface Simple Path Simple Closed Curve 
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  1. [1]
    Carside, F. A., The braid group and other groups, Quart. J. Math. Oxford 20, No. 78, pp. 235–254, (1969).CrossRefGoogle Scholar
  2. [2]
    Moishezon, B.G., “Stable branch curves and braid monodromies,” in Lecture Notes in Math., vol. 862 (1981), pp. 107–192.MathSciNetCrossRefGoogle Scholar
  3. [3]
    Persson, U., “Chern invariants of surfaces of general type,” Comp. Math. (1981).Google Scholar

Copyright information

© Springer Science+Business Media New York 1983

Authors and Affiliations

  • B. Moishezon
    • 1
  1. 1.Department of MathematicsColumbia UniversityNew YorkUSA

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