On Degenerations of the Projective Plane

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2025
• Main Authors: Hausen, Jürgen, Király, Katharina, Wrobel, Milena
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2025
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/213535
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On Degenerations of the Projective Plane. Jürgen Hausen, Katharina Király and Milena Wrobel. SIGMA 21 (2025), 042, 16 pages

Complementing the results of Hacking and Prokhorov, we determine explicitly all log-terminal, rational, degenerations of the projective plane that admit a non-trivial torus action.