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arxiv: math/0401029 · v1 · submitted 2004-01-05 · 🧮 math.DG · math.AG· math.NT

Analytic torsion of Hirzebruch surfaces

classification 🧮 math.DG math.AGmath.NT
keywords analytichirzebruchsurfacestorsionarithmeticbott-chernclassescomputations
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Using different forms of the arithmetic Riemann-Roch theorem and the computations of Bott-Chern secondary classes, we compute the analytic torsion and the height of Hirzebruch surfaces.

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