It is known that the automorphism group of a K-polystable Fano manifold is reductive. Codogni and Dervan constructed a canonical filtration of the section ring, called Loewy filtration, and conjectured that the filtration destabilizes any Fano variety with non-reductive automorphism group. In this note, we give a counterexample to their conjecture.
|Number of pages||23|
|Journal||Annales de l'Institut Fourier|
|Publication status||Published - 2021|
- Loewy filtration
ASJC Scopus subject areas
- Algebra and Number Theory
- Geometry and Topology