Israel Journal of Mathematics

, Volume 15, Issue 2, pp 189–192 | Cite as

Handle removal on a compact Riemann surface of genus 2

  • Aaron Lebowitz


A degeneration of a compact, two-sheeted, Riemann surface in genus 2 is studied. Two branch points coalesce when the period matrix for the surface is degenerated. A Siegel modular transformation is applied to give the degenerating period matrix in the form of a corner matrix.


Limit Surface Riemann Surface Branch Point Compact Riemann Surface Period Matrix 
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  1. 1.
    A. Lebowitz,Degeneration of a compact Riemann surface of genus 2, Israel. J. Math.,12 (1972), 223–236.zbMATHMathSciNetGoogle Scholar

Copyright information

© The Weizmann Science Press of Israel 1973

Authors and Affiliations

  • Aaron Lebowitz
    • 1
    • 2
  1. 1.Herbert H. Lehman CollegeCity University of New YorkNew YorkU.S.A.
  2. 2.The University of The NegevBe'er ShevaIsrael

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