Singular curves and Baker-Akhiezer functions
  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. 
Sebastian Klein, Eva L\"ubcke, Martin Ulrich Schmidt, Tobias Simon
math.AG