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Moduli spaces for real algebraic curves and real abelian varieties

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References

  • [A] Ahlfors, L.: The complex analytic structure of the space of closed Riemann surfaces. In: Nevanlinna, R. et al. (eds.) Analytic Functions, pp. 45–66. Princeton New Jersey: Princeton University Press 1960

    Google Scholar 

  • [Al] Albert, A.A.: Symmetric and alternate matrices in arbitrary field, I. Trans. Am. Math. Soc.43, 386–436 (1938)

    Google Scholar 

  • [AG] Alling, N.L., Greenleaf, L.: Foundations of the theory of Klein surfaces. Lecture Notes in Mathematics 219. Berlin Heidelberg New York. Springer 1971

    Google Scholar 

  • [Co] Comessatti, H.: Sulla varietà abeliane reali I & II. Ann. Math. Pura Appl.2, 67–106, (1924) and4, 27–71 (1926)

    Google Scholar 

  • [E] Earle, C.J.: On moduli of closed Riemann surfaces with symmetries. In: Advances in the Theory of Riemann Surfaces, Annals of Mathematics Studies 66, pp. 119–130. Princeton New Jersey: Princeton Press and University of Tokyo Press 1971

    Google Scholar 

  • [GH] Gross, B.H., Harris, J.: Real algebraic curves. Ann. Sci. Éc. Norm. Super, 4° série,14, 157–182 (1981)

    Google Scholar 

  • [Ig] Igusa, J.-J.: Theta Functions. Berlin Heidelberg New York: Springer 1972

    Google Scholar 

  • [Kl] Klein, F.: Über Riemanns Theorie der algebraischen Funktionen und ihrer Integrale.—Eine Ergänzung der gewöhnlichen Darstellungen. Leipzig: B.G. Teubner 1882

    Google Scholar 

  • [Kn] Knebusch, M.: On algebraic curves over real closed fields I and II. Math. Z.150, 49–70, (1976) and151, 189–205 (1976)

    Google Scholar 

  • [L] Lehto, O.: Univalent functions and Teichmüller spaces. Graduate Texts in Mathematics 109. Berlin Heidelberg New York: Springer 1986

    Google Scholar 

  • [Mu] Mumford, D.: Abelian varieties. Oxford: Oxford University Press 1974

    Google Scholar 

  • [MF] Mumford, D., Fogarty, J.. Geometric invariant theory. Ergebnisse der Mathematik 34. Berlin Heidelberg New York: Springer 1982

    Google Scholar 

  • [N] Natanzon, S.M.: Moduli of real algebraic curves. Usp. Mat. Nauk30: 1(181) 251–252 (1975) (Russian)

    Google Scholar 

  • [Se1] Seppälä, M.: Teichmüller spaces of Klein surfaces. Ann. Acad. Sci. Fenn. Ser. A I. Mathematica Diss.15, 1–37 (1978)

    Google Scholar 

  • [Se2] Seppälä, M.: Quotients of complex manifolds and moduli spaces of Klein surfaces. Ann. Acad. Sci. Fenn. Ser. A. I. Math.6, 113–124 (1981)

    Google Scholar 

  • [Sie] Siegel, C.L. Topics in Complex Function Theory, Vol. 3. New York: John Wiley & Sons 1973

    Google Scholar 

  • [Sh] Shimura, G.: On the real points of an arithmetic quotient of a bounded symmetric domain. Math. Ann.215, 135–164 (1975)

    Google Scholar 

  • [SiO] Silhol, R.: Real Abelian varieties and the theory of Comessatti. Math. Z.181, 345–364 (1982)

    Google Scholar 

  • [Si1] Silhol, R.: Problemes de Moduli en geométrie algébrique réelle. To appear

  • [Si2] Silhol, R.: Bounds for the number of connected components connected components and the first Betti number mod two of a real algebraic surface. Compos. Math.60, 53–63 (1986)

    Google Scholar 

  • [Wd] Weichhold, G.: Über symmetrische Riemannsche Flächen und die Periodizitätsmodulen der zugehörigen Abelschen Normalintegrale erster Gattung. Leipziger Dissertation 1883

  • [W] Weil, A.: Reduction des formes quadratiques. Séminaire Cartan 1957/58, Exp. 1

  • [Z] Zarrow, R.: A canonical form for symmetric and skew-symmetric extended sympletic modular matrices with applications to Riemann surface theory. Trans. Am. Math. Soc.204, 207–227 (1975)

    Google Scholar 

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Seppälä, M., Silhol, R. Moduli spaces for real algebraic curves and real abelian varieties. Math Z 201, 151–165 (1989). https://doi.org/10.1007/BF01160673

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