An arithmetic Riemann-Roch theorem for pointed stable curves

Gerard Freixas I. Montplet

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arXiv · 0710.3374

An arithmetic Riemann-Roch theorem for pointed stable curves

Gerard Freixas I. Montplet

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Abstract

We prove an arithmetic Riemann-Roch theorem for pointed stable curves. We derive consequences for the Selberg zeta function of an open modular curve $Y_{1}(p)$ (resp. $Y_{0}(p)$), for a prime number $p\geq 11$ (resp. congruent to 11 modulo 12).

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Gerard Freixas I. Montplet. 2008-01-12. An arithmetic Riemann-Roch theorem for pointed stable curves. https://arxiv.org/abs/0710.3374

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