This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Atiyah, M.F., Singer, I.M., The index of elliptic operators III, Ann. of Math. 87 (1968), 546–604
Baily, W.L., Borel, A., Compactification of arithmetic quotients of bounded symmetric domains, Ann. of Math. 84 (1966), 442–528
Borel, A., Compact Clifford-Klein forms of symmetric spaces, Topology 2 (1963), 111–122
Barth, W., Peters, C., Van de Ven, A., Compact complex surfaces, Springer-Verl., Berlin-Heidelberg, New York-Tokyo, 1984
Barthel, G., Hirzebruch, F., Höfer, T., Geradenkonfigurationen und algebraische Flächen, Aspekte der Math., D4, Vieweg, Braunschweig, 1987
Feustel, J.-M., Zur groben Klassifikation der Picardschen Modulflächen, Math. Nachr. 118 (1984), 215.251
—, Arithmetik und Geometrie Picardscher Modulflächen, Dissertation B, AdW DDR, IMath., Berlin, 1987
—, Holzapfel, R.-P., Symmetry points and Chern invariants of Picard modular surfaces, Math. Nachr. 111 (1983), 7–40
Grauert, H., Remmert, H., Komplexe Räume, Math. Ann. 136 (1958), 245–318
Hemperly, J.C., The parabolic contribution to the number of linearly independent automorphic forms on a certain bounded domain, Am. Journ. Math. 94 (1972), 1078–1100
Hirzebruch,F., Automorphe Formen und der Satz von Riemann-Roch, Symp. Intern. Top. Alg., Univ. de Mexico (1958), 129–144
—, Topological methods in algebraic geometry, Springer, 1966
—, Zagier, D.B., The Atiyah-Singer theorem and elementary number theory, Math. Lect. Ser. 3, Publish or Perish, 1974
Holzapfel, R.-P., Arithmetische Kugelquotientenflächen I/II, Sem. ber. Humb.-Univ. 14, Berlin, 1978
—, Ball cusp singularities, Leopoldina-Symp., Singularitäten-Singularities, Nova acta Leopoldina 240, 52, Halle, (1981), 109–117
—, Invariants of arithmetic ball quotient surfaces, Math. Nachr. 103 (1981), 117–153
—, Arithmetic curves on ball quotient surfaces, Ann. Glob. Anal. Geom. 1 (1983), 21–90
—, Geometry and arithmetic around Euler partial differential equations, Reidel Publ. Comp., Dordrecht, Dt. Verl. d. Wiss., 1986
—, Chern numbers of algebraic surfaces — Hirzebruch's examples are Picard modular surfaces, Math. Nachr. 126 (1986), 255–273
—, Basic two-dimensional versions of Hurwitz' genus formula, Ann. Glob. Anal. Geom. 4 (1986), 1–70
—, Discrete analysis of surface coverings I, II, Rev. Roum. Math. Pure et Appl., 33, No.3, No.4 (1988)
Iversen, B., Numerical invariants and multiple planes, Am. Journ. Math. 62 (1970), 968–996
Kobayashi,R., Uniformization of complex surfaces, Prepr., Univ. Tokyo (1989)
Mumford, D., Hirzebruch's proportionality theorem in the noncompact case, Inv. math. 42 (1977), 239–272
Pinkham, H., Normal surface singularities with ℂ* action, Math. Ann. 227 (1977), 183–193
Shimura, G., On purely transcendental fields of automorphic functions of several variables, Osaka Journ. Math. 1, No. 1 (1964), 1–14
—, Introduction to the arithmetic theory of automorphic functions, Iwanami Shoten Publ., Princ. Univ. Press, 1971
Švartsman, O.W., On the factor space of an arithmetic group acting on the complex ball (russ.), Thesis, MGU, Moskau, 1974
Wells,R.O., Differential analysis on complex manifolds, Prentice-Hall, 1973
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1990 Springer-Verlag
About this paper
Cite this paper
Holzapfel, RP. (1990). An effective finiteness theorem for ball lattices. In: Labesse, JP., Schwermer, J. (eds) Cohomology of Arithmetic Groups and Automorphic Forms. Lecture Notes in Mathematics, vol 1447. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085730
Download citation
DOI: https://doi.org/10.1007/BFb0085730
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-53422-8
Online ISBN: 978-3-540-46876-9
eBook Packages: Springer Book Archive