The gross-kohnen-zagier theorem in higher dimensions

Duke Mathematical Journal

Volumn 97, Issue 2, 1999, Pages 219-233

  Borcherds, Richard E ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001172910     PISSN: 00127094     EISSN: None     Source Type: Journal    
DOI: 10.1215/S0012-7094-99-09710-7     Document Type: Article

References (12)

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3. G. van der Geer, Hilbert Modular Surfaces, Ergeb. Math. Grenzgeb. (3) 16, Springer-Verlag, Berlin, 1988.
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5. B. H. Gross and D. B. Zagier, Heegner points and derivatives of L-series, Invent. Math. 84 (1986), 225-320.
6. Y. Hayashi, The Rankin's L-function and Heegner points for general discriminants, Proc. Japan Acad. Ser. A Math. Sci. 71 (1995), 30-32.
7. 4” in Abelian Varieties (Egloffstein, 1993), de Gruyter, Berlin, 1995, 105-129.
8. F. Hirzebruch and D. B. Zagier, Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus, Invent. Math. 36 (1976), 57-113.
9. S. S. Kudla, Algebraic cycles on Shimura varieties of orthogonal type, Duke Math. J. 86 (1997), 39-78.
10. G. Shimura, Introduction to the Arithmetic Theory of Automorphic Functions, Kano Memorial Lectures, Iwanami Shoten, Tokyo, and Princeton Univ. Press, Princeton, 1971.
11. D. B. Zagier, Nombres de classes et formes modulaires depoids 3/2, C. R. Acad. Sci. Paris Sér. A-B 281 (1975), A883-A886.
12. D. B. Zagier, “Modular points, modular curves, modular surfaces and modular forms” in Work shop Bonn 1984, Lecture Notes in Math. 1111, Springer-Verlag, Berlin, 1985, 225-248.