References
Ash, A., Mumford, D., Rapoport, M., Tai, Y.: Smooth Compactification of locally symmetric varieties. Math. Sci. Press (53 Jordan Rd., Brookline, Mass. 02146), 1975
Baily, W.L., Borel, A.: Compactification of arithmetic quotients of bounded symmetric domains. Annals of Math.84, 744 (1966)
Borel, A.: Introduction to Automorphic Forms. In: Symp. in Pure Math., Vol. IX (AMS, 1966), p. 199
Borel, A.: Some metric properties of arithmetic quotients of symmetric spaces and an extension theorem. J. Diff. Geometry6 (1972)
Bott, R., Chern, S.: Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic sections. Acta math.114, 71 (1965)
Cornalba, M., Griffiths, P.: Analytic cycles and vector bundles on non-compact algebraic varieties. Inventiones math.28, 1 (1975)
Hirzebruch, F.: Automorphe Formen und der Satz von Riemann-Roch. In: Symposium Internacional de Topologia Algebraica, Unesco, 1958
Iitaka, S.: On logarithmic Kodaira dimension of algebraic varieties. (To appear)
Kempf, G., Knudsen, F., Mumford, D., Saint-Donat, B.: Toroidal Embeddings. Springer Lecture Notes 339 (1973)
Kobayashi, S.: Hyperbolic manifolds and holomorphic mappings. M. Dekker Inc., 1970
Mumford, D.: Geometric Invariant Theory. Berlin-Heidelberg-New York: Springer 1965
Mumford, D.: Stability of projective varieties. L'Enseignement Mathematique 1977
Mumford, D.: Pathogies III. Amer. J. Math.89 (1967)
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Dedicated to Friedrich Hirzebruch
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Mumford, D. Hirzebruch's proportionality theorem in the non-compact case. Invent Math 42, 239–272 (1977). https://doi.org/10.1007/BF01389790
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DOI: https://doi.org/10.1007/BF01389790