A Note on the Formal Groups of Weighted Delsarte Threefolds

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• ISSN: 1815-0659
• Main Author: Goto, Y.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209860
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A Note on the Formal Groups of Weighted Delsarte Threefolds / Y. Goto // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 20 назв. — англ.

One-dimensional formal groups over an algebraically closed field of positive characteristic are classified by their height. In the case of K3 surfaces, the height of their formal groups takes integer values between 1 and 10 or ∞. For Calabi-Yau threefolds, the height is bounded by h¹'² + 1 if i...