English

Coding the real locus of X_0+(N)

Number Theory 2017-03-08 v2

Abstract

Let X_0+(N) be the Atkin-Lehner quotient of the modular curve X_0(N) associated to the Fricke involution wN. Assume N > 3 prime and endow the real locus X+ 0 (N)(R) with the real topology. In this paper we revisit a special case of result due to Ogg on the connected components of X_0+(N)(R). Then we obtain a formula for the homology class of each connected component of X_0+(N)(R) in terms of Manin symbols.

Cite

@article{arxiv.math/0603121,
  title  = {Coding the real locus of X_0+(N)},
  author = {Carlos Castano-Bernard},
  journal= {arXiv preprint arXiv:math/0603121},
  year   = {2017}
}

Comments

It contains several errors and inaccuracies