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 con...

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Veröffentlicht in:arXiv.org 2020-01
Hauptverfasser: Klein, Sebastian, Lübcke, Eva, Martin Ulrich Schmidt, Simon, Tobias
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:2331-8422