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Siegel cusp forms as holomorphic differential forms on certain compact varieties

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References

  1. Ash, A., et al.: Smooth compactification of locally symmetric varieties. In: Lie groups, history, frontiers, and applications, Vol. 4. Brookline: Math. Sci. Press. 1975

    Google Scholar 

  2. Kodaira, K.: On compact analytic surfaces. II, III. Ann. Math.77, 563–626 (1963);78, 1–40 (1963)

    Google Scholar 

  3. Laufer, H.: On rational singularities. Am. J. Math.94, 597–608 (1972)

    Google Scholar 

  4. Maass, H.: Siegel's modular forms and Dirichlet series. Lecture Notes in Mathematics, Vol. 216. Berlin, Heidelberg, New York: Springer 1971

    Google Scholar 

  5. Namikawa, Y.: A new compactification of the Siegel space and degeneration of Abelian varieties. I, II. Math. Ann.221, 97–141;221, 201–241 (1976)

    Google Scholar 

  6. Satake, I.: Caractérisation de l'espace des Spitzenformen. In: Séminaire H. Cartan 1957/1958 pp. (9-32)–(9-38). New York: Benjamin 1967

    Google Scholar 

  7. Shioda, T.: On elliptic modular surfaces. J. Math. Soc. Japan.24, 20–59 (1972)

    Google Scholar 

  8. Siegel, C.L.: Einführung in die Theorie der Modulfunktionen,n-ten Grades. Math. Ann.116, 617–657 (1939)

    Google Scholar 

  9. Šokulov, V.V.: Holomorphic differential forms of higher degree on Kuga's modular varieties. Math. USSR Sborn.30, 119–142 (1976)

    Google Scholar 

  10. Tsushima, R.: A formula for the dimension of spaces of Siegel cusp forms of degree three. Am. J. Math.102, 937–977 (1980)

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Education, Gifu University, Gifu 502, Japan

    Kazuyuki Hatada

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  1. Kazuyuki Hatada
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Partially supported by Grant-in-Aid for Scientific Research (C) (No. 57540019), Ministry of Education, Science and Culture, Japan

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Hatada, K. Siegel cusp forms as holomorphic differential forms on certain compact varieties. Math. Ann. 262, 503–509 (1983). https://doi.org/10.1007/BF01456064

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  • DOI: https://doi.org/10.1007/BF01456064

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