English

Singular curves and Baker-Akhiezer functions

Algebraic Geometry 2020-01-14 v2

Abstract

We present the concept of Baker-Akhiezer functions on singular complex curves. For this purpose, we translate the algebraic presentation of such curves in [Se, Chapter~IV] into the analytic setting. Generalised divisors and their interplay with partial desingularisations are the fundament of the construction of Baker-Akhiezer functions.

Keywords

Cite

@article{arxiv.1609.07011,
  title  = {Singular curves and Baker-Akhiezer functions},
  author = {Sebastian Klein and Eva Lübcke and Martin Ulrich Schmidt and Tobias Simon},
  journal= {arXiv preprint arXiv:1609.07011},
  year   = {2020}
}

Comments

39 pages

R2 v1 2026-06-22T15:58:02.755Z