2 papers
math.AG2026
K-stablity of Fano threefold hypersurfaces of index 1
Livia Campo, Takuzo Okada
We settle the problem of K-stability of quasi-smooth Fano 3-fold hypersurfaces with Fano index 1 by providing lower bounds for their delta invariants. We use the method introduced…
math.AG2026
K-stability of Fano weighted hypersurfaces via plt flags and convex geometry
Livia Campo, Kento Fujita, Taro Sano +1
We develop a framework to study the K-stability of weighted Fano hypersurfaces based on a combination of birational and convex-geometric techniques. As an application, we prove tha…