An arithmetic Riemann-Roch theorem for pointed stable curves

Details An arithmetic Riemann-Roch theorem for pointed stable curves An arithmetic Riemann-Roch theorem for pointed stable curves

2007-10-17

arxiv.org/abs/0710.3374v2

Mathematics

Number Theory

44 pages, typos corrected, new references, more detailed introduction

Scientific paper

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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