Projective Resolutions for a Certain Class of Groups.
R.J. Clarke (1973)
Mathematische Zeitschrift
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R.J. Clarke (1973)
Mathematische Zeitschrift
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Paul Schmutz (1996)
Mathematische Zeitschrift
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Joseph H. Silverman (1994)
Mathematische Zeitschrift
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Mark McConnell (1991)
Mathematische Annalen
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David Perin (1972)
Mathematische Zeitschrift
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Hiroaki Nakamura (1990)
Journal für die reine und angewandte Mathematik
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A. Wagner (1961)
Mathematische Zeitschrift
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R. Felix, R.W. Henrichs, H. Skudlarek (1979)
Mathematische Zeitschrift
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Slavyana Geninska (2014)
Annales de la faculté des sciences de Toulouse Mathématiques
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This is a small survey paper about connections between the arithmetic and geometric properties in the case of arithmetic Fuchsian groups.
Ulrich Stuhler (1980)
Inventiones mathematicae
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Mathias Peternell (1987)
Mathematische Zeitschrift
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A.A. Bruen, J.W.P. Hirschfeld (1986)
Mathematische Zeitschrift
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José Ignacio Burgos Gil, Gerard Freixas i Montplet, Răzvan Liţcanu (2014)
Annales de la faculté des sciences de Toulouse Mathématiques
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In this paper we extend the arithmetic Grothendieck-Riemann-Roch Theorem to projective morphisms between arithmetic varieties that are not necessarily smooth over the complex numbers. The main ingredient of this extension is the theory of generalized holomorphic analytic torsion classes previously developed by the authors.