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.
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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.
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Heights of varieties in multiprojective spaces and arithmetic Nullstellensätze
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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...