English

A modularity test for elliptic mirror symmetry

High Energy Physics - Theory 2008-11-26 v1

Abstract

In this note a prediction of an algebraic mirror construction is checked for elliptic curves of Brieskorn-Pham type via number theoretic methods. It is shown that the modular forms associated to the Hasse-Weil L-series of mirror pairs of such curves are identical.

Cite

@article{arxiv.0705.2427,
  title  = {A modularity test for elliptic mirror symmetry},
  author = {Rolf Schimmrigk},
  journal= {arXiv preprint arXiv:0705.2427},
  year   = {2008}
}
R2 v1 2026-06-21T08:29:03.949Z