Addition of Divisors on Hyperelliptic Curves via Interpolation Polynomials

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Authors: Bernatska, Julia, Kopeliovich, Yaacov
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210697
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Addition of Divisors on Hyperelliptic Curves via Interpolation Polynomials. Julia Bernatska and Yaacov Kopeliovich. SIGMA 16 (2020), 053, 21 pages

Two problems are addressed: reduction of an arbitrary degree non-special divisor to the equivalent divisor of the degree equal to the genus of a curve, and addition of divisors of arbitrary degrees. The hyperelliptic case is considered the simplest model. Explicit formulas defining reduced divisors...