One-dimensional components in the K-moduli of smooth Fano 3-folds
Hamid Abban, Ivan Cheltsov, Elena Denisova, Erroxe Etxabarri-Alberdi,, Anne-Sophie Kaloghiros, Dongchen Jiao, Jesus Martinez-Garcia, Theodoros, Papazachariou
TL;DR
This paper completes the classification of one-dimensional components in the K-moduli space of smoothable Fano 3-folds by identifying K-polystable limits in four deformation families.
Contribution
It provides a complete classification of certain components in the K-moduli space of smooth Fano 3-folds through analysis of K-polystable limits.
Findings
Identification of K-polystable limits in four deformation families
Completion of classification of one-dimensional components in K-moduli
Advancement in understanding the structure of Fano 3-fold moduli
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.
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Taxonomy
TopicsGeometry and complex manifolds · Algebraic Geometry and Number Theory · Advanced Combinatorial Mathematics