Explicit optimal degenerations are found for Fano threefolds in family 2.23 yielding weighted K-polystable KRS limits, with moduli spaces isomorphic to GIT of biconic curves or a single point according to the H-invariant.
A Note On K\"ahler-Ricci Flow on Fano Threefolds
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
In this note, we show that the solution of K\"ahler-Ricci flow on every Fano threefold from the family No.2.23 in the Mori-Mukai's list develops type II singularity. In fact, we show that no Fano threefold from the family No.2.23 admits K\"ahler-Ricci soliton and the Gromov-Hausdorff limit of the K\"ahler-Ricci flow must be a singular $\mathbb{Q}$-Fano variety. This gives new examples of Fano manifolds of the lowest dimension on which K\"ahler-Ricci flow develops type II singularity.
fields
math.AG 1years
2024 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Optimal Degenerations of K-unstable Fano threefolds
Explicit optimal degenerations are found for Fano threefolds in family 2.23 yielding weighted K-polystable KRS limits, with moduli spaces isomorphic to GIT of biconic curves or a single point according to the H-invariant.