Delta invariants of projective bundles and projective cones of Fano type

Abstract

In this paper, we will give a precise formula to compute delta invariants of projective bundles and projective cones of Fano type.

K-stability of Fano threefolds of rank 2 and degree 14 as double covers

“…Proof. We follow the computation of stability thresholds for projective bundles from [ZZ22] (see Lemma 2.2). Let c ∈ (0, 1) be a rational number.…”

K-stability of Fano varieties via admissible flags

“…One can also define local stability thresholds at some by taking log canonical thresholds around the point x so that the global invariant is the minimum of the local ones ; see Subsection 2.2. It is again a challenging problem to find the precise value of these invariants, unless the variety has a large group of automorphisms [2, 25, 50]; see [13, 42] for some estimates on del Pezzo surfaces.…”