An arithmetic Riemann-Roch theorem for pointed stable curves

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 $p\ge 11$ (resp. congruent to 11 modulo 12).

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

Cited by in corpus (1)

• Arithmetic Riemann-Roch and Hilbert-Samuel formulae for pointed stable curves