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The mumford isomorphism on the moduli space

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Part of the book series: Lecture Notes in Physics ((LNP,volume 322))

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  • Hartshorne R., “Algebraic Geometry”, Springer, 1977.

    Google Scholar 

  • Griffiths Ph./Harris J., “Principles of Algebraic Geometry”, John Wiley and Sons, 1978.

    Google Scholar 

  • Borel A./Serre J.P., Le Théorème de Riemann-Roch, Bull. Soc. math. France 86 (1958), 97–136.

    MATH  MathSciNet  Google Scholar 

  • Fulton W., “Intersection Theory”, Springer, 1985.

    Google Scholar 

  • Mumford D., Stability of Projective Varieties, L'Enseign. Math. 23 (1977), 39–110.

    MATH  MathSciNet  Google Scholar 

  • Beilinson A.A./Manin Yu.I., The Mumford Form and the Polyakov Measure in String Theory, Comm. Math. Phys. 107 (1986), 359–376.

    Article  ADS  MathSciNet  Google Scholar 

  • Belavin A.A./Knizhnik V.G., Complex Geometry and Theory of Quantum Strings, Sov. Phys. JETP 64 (1987), 214.

    MathSciNet  Google Scholar 

  • Bost J.B., Fibrés déterminants, déterminants régularisés et mesures sur les espace de modules des courbes complexes, (Sém. Bourbaki Exp. 676), Asterisque 152–153 (1987), 113–149.

    MathSciNet  Google Scholar 

  • Cornalba M., The Belavin — Knizhnik — Bost-Jolicoeur — Gava-Iengo etc. Theorem, (Summer Workshop on High Energy Physics and Cosmology 30 June — 15 August 86), ICTP, Trieste.

    Google Scholar 

  • Smit D-J., String Theory and Algebraic Geometry of Moduli Spaces, (preprint), Centre for Mathematics and Computer Science, The Netherlands.

    Google Scholar 

  • L.Alvarez-Gaumé and P.Nelson, Riemann Surfaces and String Theories, in “Supersymmetry, Supergravity and Superstrings 86”, World Scient., 1986.

    Google Scholar 

  • Gilkey P.B., “Invariance Theory, The Heat Equation and the Atiyah-Singer Index Theorem”, Publish or Perish, 1984.

    Google Scholar 

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© 1989 Springer-Verlag

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(1989). The mumford isomorphism on the moduli space. In: An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces. Lecture Notes in Physics, vol 322. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0113504

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  • DOI: https://doi.org/10.1007/BFb0113504

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50124-4

  • Online ISBN: 978-3-540-45934-7

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