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Generalized Jacobi forms and abelian schemes over arithmetic varieties

  • Autores: Min Ho Lee
  • Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 49, Fasc. 1, 1998, págs. 121-132
  • Idioma: inglés
  • Enlaces
  • Resumen
    • We generalize Jacobi forms of an arbitrary degree and construct torus bundles over abelian schemes whose sections can be identified with such generalized Jacobi forms.

  • Referencias bibliográficas
    • A. Ash, D. Mumford, M. Rapoport, and Y. Tai, Smooth compactification of locally symmetric varieties, Math. Sci. Press, Brookline, 1975.
    • M. Eichler and D. Zagier, The theory of Jacobi forms, Progr. in Math. 55, Birkhäuser, Boston, 1985.
    • M. Harris, Functorial properties of toroidal compactification of locally symmetric varieties, Proc. London Math. Soc. 59 (1989), 1–22.
    • M. Harris and S. Zucker, Boundary cohomology of Shimura varieties I, Coherent cohomology on toroidal compactifications, Ann. Sci. École Norm....
    • M. Harris and S. Zucker, Boundary cohomology of Shimura varieties II, Hodge theory at the boundary, Invent. Math. 116 (1994), 243–307.
    • T. Ibukiyama, On Jacobi forms and Siegel modular forms of half integral weight, Comment. Math. Univ. St. Paul 41 (1992), 109–124.
    • M. Kuga, Fiber varieties over a symmetric space whose fibers are abelian varieties I, II, Lect. Notes, Univ. Chicago, 1963/64.
    • M. H. Lee, Mixed cusp forms and holomorphic forms on elliptic varieties, Pacific J. Math. 132 (1988), 363–370.
    • M. H. Lee, Conjugates of equivariant holomorphic maps of symmetric domains, Pacific J. Math. 149 (1991), 127–144.
    • M. H. Lee, Mixed cusp forms and Poincaré series, Rocky Mountain J. Math. 23 (1993), 1009–1022.
    • M. H. Lee, Mixed Siegel modular forms and Kuga fiber varieties, Illinois J. Math. 38 (1994), 692–700.
    • M. H. Lee, Twisted torus bundles over arithmetic varieties, Proc. Amer. Math. Soc. 123 (1995), 2251–2259.
    • M. H. Lee, Mixed automorphic vector bundles on Shimura varieties, Pacific J. Math. 173 (1996), 105–126.
    • M. H. Lee, Hodge cycles on Kuga fiber varieties, J. Austral. Math. Soc. Ser. A 61 (1996), 1–13.
    • J. Milne, Canonical models of (mixed) Shimura varieties and automorphic vector bundles, Automorphic Forms, Shimura Varieties, and L-Functions,...
    • A. Murase, $L$-functions attached to Jacobi forms of degree $n$. Part I, The basic identity, J. Reine Angew. Math. 401 (1989), 122–156.
    • A. Murase, $L$-functions attached to Jacobi forms of degree $n$. Part II, Functional equation, Math. Ann. 401 (1991), 247–276.
    • R. Pink, Arithmetical compactification of mixed Shimura varieties, Bonner Mathematische Schriften, 209, Universität Bonn, Bonn, 1990.
    • I. Satake, Algebraic structures of symmetric domains, Princeton Univ. Press, Princeton, 1980.
    • I. Satake, Toric bundles over abelian schemes, Preprint, 1994.
    • C. Ziegler, Jacobi forms of higher degree, Abh. Math. Sem. Univ. Hamburg 59 (1989), 191–224.

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