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

Abstract

We prove that every smooth Fano threefold from the family No 2.8 is K-stable. Such a Fano threefold is a double cover of the blow-up of ${\mathbb{P}}^3$ at one point branched along an anti-canonical divisor.

arXiv comment9 pages, comments welcome. v2: to appear in Math. Z