One-dimensional components in the K-moduli of smooth Fano 3-folds

Abban, Hamid; Cheltsov, Ivan; Denisova, Elena; Etxabarri Alberdi, Erroxe; Kaloghiros, Anne-Sophie; Jiao, Dongchen; Martinez Garcia, Jesus; Papazachariou, Theodoros

Abstract

By identifying K-polystable limits in 4 specific deformations families of smooth Fano 3-folds, we complete the classification of one-dimensional components in the K-moduli space of smoothable Fano 3-folds.

Citation

Abban, H., Cheltsov, I., Denisova, E., Etxabarri Alberdi, E., Kaloghiros, A.-S., Jiao, D., Martinez Garcia, J., & Papazachariou, T. (2025). One-dimensional components in the K-moduli of smooth Fano 3-folds. Journal of Algebraic Geometry, 34(3), 489-534. https://doi.org/10.1090/jag/839

• Journal Article Type: Article
• Acceptance Date: Jul 22, 2024
• Online Publication Date: Oct 9, 2024
• Publication Date: 2025-07
• Deposit Date: Jul 22, 2024
• Publicly Available Date: Oct 9, 2024
• Journal: Journal of Algebraic Geometry
• Print ISSN: 1056-3911
• Electronic ISSN: 1534-7486
• Publisher: American Mathematical Society
• Peer Reviewed: Peer Reviewed
• Volume: 34
• Issue: 3
• Pages: 489-534
• DOI: https://doi.org/10.1090/jag/839
• Public URL: https://nottingham-repository.worktribe.com/output/37421030
• Publisher URL: https://www.ams.org/journals/jag/0000-000-00/S1056-3911-2024-00839-8/