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The arithmetic genus of the Hilbert modular variety and the elliptic fixed points of the Hilbert modular group

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References

  1. Apostol, T.: Introduction to analytic number theory. Berlin, Heidelberg, New York: Springer 1976

    Google Scholar 

  2. Hasse, H.: Über die Klassenzahl abelscher Zahlkörpern. Berlin:Akademie-Verlag 1952

    Google Scholar 

  3. Hecke, E.: Algebraische Zahlen. London, Amsterdam, Paris: Chelsea 1970

    Google Scholar 

  4. Hirzebruch, F.: Hilbert modular surfaces. L'Enseignement Mathematique, t. XIX, fasc. 3-4 (1973)

  5. Lang, S.: Algebraic number theory. London, Amsterdam, Paris: Addison-Wesley 1970

    Google Scholar 

  6. Lang, S.: Algebraic number theory. New York, Basel: Dekker 1977

    Google Scholar 

  7. Prestel, A.: Die elliptischen Fixpunkte der Hilbertschen Modulgruppe. Math. Ann.117, 181–209 (1968)

    Google Scholar 

  8. Shimizu, H.: On discontinuous groups operating on the product of upper half-planes. Ann. Math.77, 33–71 (1963)

    Google Scholar 

  9. Vignéras, M.-F.: Invariants numériques des groupes des Hilbert. Math. Ann.224, 189–215 (1976)

    Google Scholar 

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  1. Department of Mathematics, Texas A and M University, 77843, College Station, TX, USA

    Daniel Weisser

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  1. Daniel Weisser
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Weisser, D. The arithmetic genus of the Hilbert modular variety and the elliptic fixed points of the Hilbert modular group. Math. Ann. 257, 9–22 (1981). https://doi.org/10.1007/BF01450651

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  • DOI: https://doi.org/10.1007/BF01450651

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