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Singular points of theta functions, quadric relations and holomorphic differentials with prescribed zeros

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Complex Analysis Joensuu 1978

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 747))

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References

  1. Andreotti, A., Mayer, A.: On period relations for abelian integrals on algebraic curves. Ann. Sc. norm. super. Pisa, Cl. Sci., IV. Ser. 21 (1967), 189–238.

    MathSciNet  MATH  Google Scholar 

  2. Beauville, A.: Prym varieties and the Schottky problem. Inventiones math. 41 (1977), 149–196.

    Article  MathSciNet  MATH  Google Scholar 

  3. Farkas, H.M.: Special divisors and analytic subloci of Teichmüller space. Amer. J. Math. 88 (1966), 881–901.

    Article  MathSciNet  MATH  Google Scholar 

  4. Farkas, H.M.: On the Schottky relation and its generalization to arbitrary genus. Ann. of Math., II. Ser. 92 (1970), 56–81.

    MathSciNet  MATH  Google Scholar 

  5. Farkas, H.M., Rauch, H.E.: Period relations of Schottky type on Riemann surfaces. Ann. of Math., II. Ser. 92 (1970), 434–461.

    Article  MathSciNet  MATH  Google Scholar 

  6. Martens, H.H.: On the varieties of special divisors on a curve I. J. reine angew. math. 227 (1967), 111–120.

    MathSciNet  MATH  Google Scholar 

  7. Martens, H.H.: On the varieties of special divisors on a curve II. J. reine angew. math. 233 (1968), 89–100.

    MathSciNet  MATH  Google Scholar 

  8. Mumford, D.: Prym varieties I, in "Contributions to Analysis". Academic Press, New York and London (1974), 325–350.

    Chapter  Google Scholar 

  9. Rauch, H.E., Farkas, H.M.: Theta function with applications to Riemann surfaces. Williams and Wilkins Co., Baltimore, Md. (1974).

    MATH  Google Scholar 

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Ilpo Laine Olli Lehto Tuomas Sorvali

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© 1979 Springer-Verlag

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Farkas, H.M. (1979). Singular points of theta functions, quadric relations and holomorphic differentials with prescribed zeros. In: Laine, I., Lehto, O., Sorvali, T. (eds) Complex Analysis Joensuu 1978. Lecture Notes in Mathematics, vol 747. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0063963

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  • DOI: https://doi.org/10.1007/BFb0063963

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  • Print ISBN: 978-3-540-09553-8

  • Online ISBN: 978-3-540-34859-7

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