The Hilbert modular group, resolution of the singularities at the cusps and related problems

F. Hirzebruch

Séminaire Bourbaki (1970-1971)

  • Volume: 13, page 275-288
  • ISSN: 0303-1179

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Hirzebruch, F.. "The Hilbert modular group, resolution of the singularities at the cusps and related problems." Séminaire Bourbaki 13 (1970-1971): 275-288. <http://eudml.org/doc/109799>.

@article{Hirzebruch1970-1971,
author = {Hirzebruch, F.},
journal = {Séminaire Bourbaki},
language = {eng},
pages = {275-288},
publisher = {Springer-Verlag},
title = {The Hilbert modular group, resolution of the singularities at the cusps and related problems},
url = {http://eudml.org/doc/109799},
volume = {13},
year = {1970-1971},
}

TY - JOUR
AU - Hirzebruch, F.
TI - The Hilbert modular group, resolution of the singularities at the cusps and related problems
JO - Séminaire Bourbaki
PY - 1970-1971
PB - Springer-Verlag
VL - 13
SP - 275
EP - 288
LA - eng
UR - http://eudml.org/doc/109799
ER -

References

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  1. [1] R. Busam - Eine Verallgemeinerung gewisser Dimensionsformeln von Shimizu, Inventiones math., 11, 110-149 (1970). Zbl0202.36802MR286749
  2. [2] E. Freitag - Die Struktur der Funktionenkörper zu Hilbertschen Modulgruppen (Habilitationsschrift, Heildelberg1969). 
  3. [3] C.F. Gauss - Untersuchungen über höhere Arithmetik (Disquisitiones Arithmeticae), deutsch herausgegeben von H. Maser 1889, reprinted Chelsea1965. MR188045JFM21.0166.04
  4. [4] H. Grauert - Über Modifikationen und exzeptionelle analytische Mengen, Math. Ann.146, 331-368 (1962). Zbl0173.33004MR137127
  5. [5] K.-B. Gundlach - Some new results in the theory of Hilbert's modular group, Contributions to function theory, International ColloquiumBombay1960, p. 165-180. Zbl0113.06501MR125986
  6. [6] K.-B. Gundlach - Die Bestimmung der Funktionen zur Hilbertschen Moldulgruppe des Zahlkörpers Q(√5) , Math. Ann.152, 226-256 (1963). Zbl0168.06204
  7. [7] K.-B. Gundlach - Die Fixpunkte einiger Hilbertschen Modulgruppen, Math. Ann.157, 369-390 (1965). Zbl0134.30103MR229579
  8. [8] G. Harder - Gauss-Bonnet formula for arithmetically defined groups, Ann. Sc. E.N.S., Paris, t. 4, 1971, fasc. 3, p. 409-455. Zbl0232.20088MR309145
  9. [9] F. Hirzebruch - Über vierdimensionale Riemannsche Flächen mehrdeutiger analytischer Funktionen von zwei komplexen Veränderlichen, Math. Ann.126, 1-22 (1953). Zbl0093.27605MR62842
  10. [10] F. Hirzebruch - The topology of normal singularities of an algebraic surface (d'après Mumford), Séminaire Bourbaki, 1962/63, n° 250, W.A. Benjamin, Inc., 1966. Zbl0126.16903
  11. [11] O. Perron - Die Lehre von den Kettenbrüchen, B. G. Teubner, Leipzig und Berlin, 1913. JFM43.0283.04
  12. [12] A. Prestel - Die elliptischen Fixpunkte der Hilbertschen Modulgruppen, Math. Ann.177, 181-209 (1968). Zbl0159.11302MR228439
  13. [13] C.L. Siegel - Lectures on advanced analytic number theory, Tata InstituteBombay1961 (reissued 1965). Zbl0278.10001MR262150
  14. [14] C.L. Siegel - Berechnung von Zetafunktionen an ganzzahligen Stellen, Göttinger Nachrichten10, 87-102 (1969). Zbl0186.08804MR252349

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