English

Notes on Weierstrass points of modular curves $X_0(N)$

Number Theory 2015-09-14 v1

Abstract

We give conditions when the fixed points by the partial Atkin-Lehner involutions on X0(N)X_0(N) are Weierstrass points as an extension of the result by Lehner and Newman \cite{LN}. Furthermore, we complete their result by determining whether the fixed points by the full Atkin-Lehner involutions on X0(N)X_0(N) are Weierstrass points or not.

Keywords

Cite

@article{arxiv.1509.03400,
  title  = {Notes on Weierstrass points of modular curves $X_0(N)$},
  author = {Bo-Hae Im and Daeyeol Jeon and Chang Heon Kim},
  journal= {arXiv preprint arXiv:1509.03400},
  year   = {2015}
}

Comments

15 pages