Weighted intersection numbers on Hilbert modular surfaces

Yue Lin Lawrence Tong

Compositio Mathematica (1979)

  • Volume: 38, Issue: 3, page 299-310
  • ISSN: 0010-437X

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Tong, Yue Lin Lawrence. "Weighted intersection numbers on Hilbert modular surfaces." Compositio Mathematica 38.3 (1979): 299-310. <http://eudml.org/doc/89406>.

@article{Tong1979,
author = {Tong, Yue Lin Lawrence},
journal = {Compositio Mathematica},
keywords = {Weighted Intersection Numbers Hilbert; Modular Surfaces; Modular Curves; Geometric Interpretation; Petersson Product},
language = {eng},
number = {3},
pages = {299-310},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {Weighted intersection numbers on Hilbert modular surfaces},
url = {http://eudml.org/doc/89406},
volume = {38},
year = {1979},
}

TY - JOUR
AU - Tong, Yue Lin Lawrence
TI - Weighted intersection numbers on Hilbert modular surfaces
JO - Compositio Mathematica
PY - 1979
PB - Sijthoff et Noordhoff International Publishers
VL - 38
IS - 3
SP - 299
EP - 310
LA - eng
KW - Weighted Intersection Numbers Hilbert; Modular Surfaces; Modular Curves; Geometric Interpretation; Petersson Product
UR - http://eudml.org/doc/89406
ER -

References

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  2. [2] P.A. Griffiths: Function theory of finite order on algebraic varieties I(A). Jour. Diff. Geometry, 6, 285-306 (1972). Zbl0269.14002MR304697
  3. [3] G. Harder: On the cohomology of discrete arithmetically defined groups. Proc. Int. Colloq. on Discrete subgroups of Lie groups, 129-160, Bombay (1973). Zbl0317.57022MR425018
  4. [4] F. Hirzebruch: Hilbert modular surfaces. L'Ens. Math, 19, 183-281 (1973). Zbl0285.14007MR393045
  5. [5] F. Hirzebruch and D. Zagier: Intersection numbers of curves on Hilbert Modular surfaces and modular forms of Nebentypus, Inventiones math.36, 57-113 (1976). Zbl0332.14009MR453649
  6. [6] S. Lang: Introduction to Modular forms. Grundlehren der mathematischen Wissenschaften222, Springer-Verlag1976. Zbl0344.10011MR429740
  7. [7] Y. Matsushima and S. Murakami: On vector bundle valued harmonic forms and automorphic forms on symmetric Riemannian manifolds. Annals of Math.78, No. 2, 365-416 (1963). Zbl0125.10702MR153028
  8. [8] G. Shimura: Sur les intégrales attachées aux formes automorphes, Journal of Math. Soc. of Japan, 11, No. 4, 291-311 (1959). Zbl0090.05503MR120372
  9. [9] D. Toledo and Y.L.L. Tong: Duality and intersection theory in complex manifolds I. Math. Ann.237, 41-77 (1978). Zbl0391.32008MR506654
  10. [10] D. Zagier: Modular forms aseociated to real quadratic fields. Inventiones math.30, 1-46 (1975). Zbl0308.10014MR382174
  11. [11] D. Zagier: Modular forms whose Fourier coefficients involve Zeta functions of quadratic fields, collected papers in International Summer School on Modular Functions Bonn 1976. Springer-VerlagLecture Notes in Mathematics627. Zbl0372.10017MR485703

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