Singular curves and Baker-Akhiezer functions
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- September 2016
- DOI:
- 10.48550/arXiv.1609.07011
- arXiv:
- arXiv:1609.07011
- Bibcode:
- 2016arXiv160907011K
- Keywords:
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- Mathematics - Algebraic Geometry;
- 14H20;
- 14H70
- E-Print:
- 39 pages