English

The size function of quadratic extensions of complex quadratic fields

Number Theory 2022-02-14 v3

Abstract

The function h0h^0 for a number field is an analogue of the dimension of the Riemann-Roch spaces of divisors on an algebraic curve. In this paper, we prove the conjecture of van der Geer and Schoof about the maximality of h0h^0 at the trivial Arakelov divisor for quadratic extensions of complex quadratic fields.

Keywords

Cite

@article{arxiv.1504.01045,
  title  = {The size function of quadratic extensions of complex quadratic fields},
  author = {Ha Thanh Nguyen Tran},
  journal= {arXiv preprint arXiv:1504.01045},
  year   = {2022}
}
R2 v1 2026-06-22T09:10:06.486Z