2016/09/22 by Sebastian Klein, Klein, Sebastian, Eva Lübcke +6
Chemistry · Mathematics · Physics and Astronomy · #14H20 #14H70 #Advanced Algebra and Geometry #Algebra over a field #Algebraic Geometry (math.AG) #Algebraic curve #Algebraic geometry #Algebraic number #FOS: Mathematics #Mathematical analysis #Mathematics #Molecular spectroscopy and chirality #Nonlinear Waves and Solitons #Pure mathematics #math.AG #msc:14H20 #msc:14H70
paper · pdf · doi:10.48550/arxiv.1609.07011
39 pages
openalex publication_date 2016/09/22 · arxiv created 2020/01/13 · arxiv updated 2020/01/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.