On Regularization of Second Kind Integrals

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• Main Authors: Bernatska, J., Leykin, D.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209776
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On Regularization of Second Kind Integrals / J. Bernatska, D. Leykin // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 14 назв. — англ.

We obtain expressions for second kind integrals on non-hyperelliptic (n,s)-curves. Such a curve possesses a Weierstrass point at infinity, which is a branch point where all sheets of the curve come together. The infinity serves as the base point for Abel's map, and the base point in the definit...