An arithmetic Riemann-Roch theorem in higher degrees
Henri Gillet, Damian Rössler, Christophe Soulé (2008)
Annales de l’institut Fourier
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We prove an analog in Arakelov geometry of the Grothendieck-Riemann-Roch theorem.
Displaying similar documents to “The arithmetic Grothendieck-Riemann-Roch theorem for general projective morphisms”
An arithmetic Riemann-Roch theorem in higher degrees
An arithmetic Riemann-Roch theorem.
Henri Gillet, Christophe Soulé (1992)
Inventiones mathematicae
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Riemann-Roch for general algebraic varieties
William Fulton, Henri Gillet (1983)
Bulletin de la Société Mathématique de France
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Rigidity of the arithmetic fundamental group of punctured projective line.
Hiroaki Nakamura (1990)
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On the Projective Class Group of Arithmetic Groups.
Balz Bürgisser (1983)
Mathematische Zeitschrift
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Projective geometry and Riemann's mapping problem.
Shiing-Shen Chern, Shanyu Ji (1995)
Mathematische Annalen
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Classical projective geometry and arithmetic groups.
Mark McConnell (1991)
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Chern classes and Hirzebruch-Riemann-Roch theorem for coherent sheaves on complex-projective orbifolds with isolated singularities.
Raimnund Blache (1996)
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On the second moment for primes in an arithmetic progression
D. A. Goldston, C. Y. Yıldırım (2001)
Acta Arithmetica
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Riemann-Roch type theorems for arithmetic schemes with a finite group action.
B. Erez, T. Chinburg, G. Pappas (1997)
Journal für die reine und angewandte Mathematik
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Heights of varieties in multiprojective spaces and arithmetic Nullstellensätze
Carlos D’Andrea, Teresa Krick, Martín Sombra (2013)
Annales scientifiques de l'École Normale Supérieure
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We present bounds for the degree and the height of the polynomials arising in some problems in effective algebraic geometry including the implicitization of rational maps and the effective Nullstellensatz over a variety. Our treatment is based on arithmetic intersection theory in products of projective spaces and extends to the arithmetic setting constructions and results due to Jelonek. A key role is played by the notion of canonical mixed height of a multiprojective variety. We study...