English

Riemann-Roch and Riemann-Hurwitz theorems for global fields

Number Theory 2009-10-21 v1

Abstract

In this paper, we use counting theorems from the geometry of numbers to extend the Riemann-Roch theorem and the Riemann-Hurwitz formula to global fields of arbitrary characteristic.

Keywords

Cite

@article{arxiv.0910.3898,
  title  = {Riemann-Roch and Riemann-Hurwitz theorems for global fields},
  author = {Stella Anevski},
  journal= {arXiv preprint arXiv:0910.3898},
  year   = {2009}
}