Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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ABASIS OF THE SPACE OF MEROMORPHIC DIFFERENTIALS ON RIEMANN SURFACES

  • Published : 1999.01.01
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Abstract

In this paper, we compute a basis of the space of meromorphic differentials on a Riemann surface, holomorphic away from two fixed points. This basis consists of the differentials which have the expected zero or pole order at the two fixed points.

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References

  1. To appear in J. Korean Math. Sco. A Basis of the Space of Meromorphic Quadratic Differentials J.H. Keum;M.K. Lee
  2. Fuck. Anal. i. Pril. v.21 no.2 Algebras of Virasoro Type, Riemann Surfaces and Structures of the Theory of Solitons I.M. Krichever;S.P. Novikov
  3. Fuck. Anal. i. Pril. v.21 no.4 Virasora Type Algebras, Riemann Surfaces and Strings in Minkowski Space I.M. Krichever
  4. Lecture Notes in Physics An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces M. Schlichenmaier