K-moduli of Fano 3-folds can have embedded points
Algebraic Geometry
2025-04-03 v2
Abstract
We exhibit an example of obstructed K-polystable Fano 3-fold such that the K-moduli stack of K-semistable Fano varieties and the K-moduli space of K-polystable Fano varieties have an embedded point at .
Cite
@article{arxiv.2105.02307,
title = {K-moduli of Fano 3-folds can have embedded points},
author = {Andrea Petracci},
journal= {arXiv preprint arXiv:2105.02307},
year = {2025}
}
Comments
12 pages, 4 figures. v2: corrected an error in Sec.5, made small adjustments. Will appear in the EMS Volume "Varieties, polyhedra and algorithms"