Complementary Modules of Weierstrass Canonical Forms

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2022
• ISSN: 1815-0659
• Main Authors: Komeda, Jiryo, Matsutani, Shigeki, Previato, Emma
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2022
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211806
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Complementary Modules of Weierstrass Canonical Forms. Jiryo Komeda, Shigeki Matsutani and Emma Previato. SIGMA 18 (2022), 098, 39 pages

The Weierstrass curve is pointed (, ∞) with a numerical semigroup , which is a normalization of the curve given by the Weierstrass canonical form, ʳ + ₁()ʳ⁻¹ + ₂()ʳ⁻² +⋯+ ᵣ₋₁() + ᵣ() = 0 where each ⱼ is a polynomial in of degree ≤ / for certain coprime positive integers and , < , such that...