English

Test for reality of algebraic functions

Algebraic Geometry 2008-09-29 v2 Complex Variables

Abstract

In this paper is proved that a complex algebraic function on complexification of a real algebraic curve is equivalent to real algebraic function, if and only if the divisor of preimage of critical values is stable under the involution of complex conjugation.

Cite

@article{arxiv.0809.3771,
  title  = {Test for reality of algebraic functions},
  author = {S. M. Natanzon},
  journal= {arXiv preprint arXiv:0809.3771},
  year   = {2008}
}

Comments

2 pages

R2 v1 2026-06-21T11:22:55.833Z