English

An arithmetic Riemann-Roch theorem for pointed stable curves

Number Theory 2008-01-14 v2 Algebraic Geometry

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 Y1(p)Y_{1}(p) (resp. Y0(p)Y_{0}(p)), for a prime number p11p\geq 11 (resp. congruent to 11 modulo 12).

Cite

@article{arxiv.0710.3374,
  title  = {An arithmetic Riemann-Roch theorem for pointed stable curves},
  author = {Gerard Freixas I. Montplet},
  journal= {arXiv preprint arXiv:0710.3374},
  year   = {2008}
}

Comments

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

R2 v1 2026-06-21T09:33:17.720Z